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Sunderland slipped into the Premier League's relegation zone despite snatching a point at Stoke City, while West Ham United won away to West Bromwich Albion.
Elsewhere, Everton beat Bournemouth, with Watford coming from behind to defeat relegated Aston Villa.
In the game that was live on Setanta Sports, Newcastle United secured a potentially crucial victory over Crystal Palace.
Jermain Defoe netted a late penalty as Stoke and Sunderland drew 1-1 at the Britannia Stadium.
However, Sunderland's draw, coupled with Newcastle's triumph, sees the Black Cats fall into the drop zone.
Stoke largely bossed the first period, with Peter Crouch and Marko Arnautovic having the home side's best opportunities.
The Potters broke the deadlock a few minutes into the second period, as Crouch won a Charlie Adam cross, allowing Arnautovic to get the better of Lamine Kone and smash in a left-footed shot.
Defoe went close with an acrobatic attempt but the away side struggled badly to open up the hosts.
From a Jon Walters pass, Gigi Imbula wasted a clear chance to put the game to bed.
Defoe made Stoke pay, picking himself up after being tripped by Geoff Cameron to send Jakob Haugaard the wrong way from the spot.
With Newcastle beating Palace 1-0, the draw drops Sunderland a point behind the Magpies in the fight to avoid relegation, although Sam Allardyce's troops have played a game less than their North-East rivals.
Stoke remain ninth, six points behind the side immediately above them, Southampton.
West Brom lost 3-0 at home to West Ham, who move up to fifth place.
Adrian saved superbly from Craig Gardner early on, as the Baggies enjoyed the better of matters, but it was the Hammers who broke the deadlock through Cheikhou Kouyate's back-post header from Dimitri Payet's neat cross.
The visitors doubled their lead in first-half injury time, as Mark Noble took a poor touch from Cheikhou Kouyate's cut-back but managed to poke home a 12-yard finish.
Noble secured a brace for the second weekend in succession, slamming a volley high into the net from Andy Carroll's side-footed centre to end the Baggies' hopes.
In the race for European qualification, the Irons move about Manchester United on goal difference, although the Red Devils will regain fifth should they take anything from Sunday's clash with Leicester at Old Trafford.
Everton picked up a 2-1 win over Bournemouth to ease a little of the pressure on the shoulders of boss Roberto Martinez.
Heartwarming events preceded the game at Goodison Park, as the Evertonians paid tribute to neighbours Liverpool and, in particular, the families of those who perished at Hillsborough in 1989, following Tuesday's verdict that the victims had been unlawfully killed.
Seven minutes into the match, Ross Barkley found Tom Cleverley, who made space and angled home a drive from the edge of the penalty area.
The Cherries, however, quickly hit back, as Marc Pugh drilled in the leveller from six yards, with Callum Wilson having escaped punishment for a foul on Matt Pennington in the build-up.
Barkley was unsuccessful with a couple of attempts to restore Everton's lead prior to the interval.
Bournemouth were the more threatening side during the early stages of the second half but fell behind when Barkley's inability to collect Aaron Lennon's pull-back allowed Leighton Baines to drive in a calm finish.
Everton saw out the remainder of the encounter without too much trouble, climbing to 11th place in the process, while Bournemouth remain 14th.
Troy Deeney struck twice in the dying minutes in a 3-2 win for Watford over relegated Aston Villa at Vicarage Road.
Deeney struck the frame of Villa's goal with an early header before the visitors took the lead against the run of play through Ciaran Clark's powerful header from an Ashley Westwood corner.
Ben Watson hit the post for Watford, while Jordan Ayew struck the woodwork for Villa, prior to the scores being levelled on the stroke of half-time by Almen Abdi's curling free-kick, following a foul by Idrissa Gueye on the Swiss.
Ayew edged Villa ahead once again just after the break, firing home an excellent strike from 20 yards following a one-two with Rudy Gestede.
Gestede wasted a fine chance to extend Villa's advantage, and Deeney threatened to level, only for Westwood to clear the home striker's header off the goal-line.
The Hornets were given a boost by the dismissal of Aly Cissokho, sent off for a professional foul on Ikechi Anya.
Deeney took full advantage at the death, nodding in Steven Berghuis's cross before slotting home a loose ball from the edge of the area.
The victory keeps alive Watford's slim hopes of finishing the season in the Premier League's top half.
In the late game, Arsenal beat Norwich City 1-0 against a backdrop of some rather half-hearted supporter protests at the Emirates Stadium.
Danny Welbeck came of the bench to hit the 59th minute winner from Olivier Giroud's knock down, to leave Norwich in the bottom two behind Newcastle and Sunderland.
Arsenal supporters threatened a protest in the 12th and 78th minute to mark the 12 years since the Gunners' last Premier League title, but their jeers were largely drowned out by boos from fans still loyal to manager Arsene Wenger.