The Patriots (5-2) led by as many as 16 and 35-22 at halftime.
The Rams (1-6) pulled ahead 38-37 with 12:44 remaining, with Xavier Munford scoring eight points in the 16-2 run, but their lead lasted just 21 seconds.
The game was tied three more times before George Mason built a five-point lead, capped by a Wright layup with 3:09 left.
Rhode Island got within two, at 54-52 with 2:10 left, but missed its final three field goal attempts, including Nikola Malesevic's 3-point try with 3 seconds remaining.
George Mason had a 50-31 rebounding advantage, and its 19 offensive boards resulted in 22 second-chance points.
Munford's 24 points led the Rams, who made only 13 of 26 free throw attempts.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.
Mike Brey is looking at former Notre Dame players to fill two assistant jobs that have opened up with the departures of Martin Ingelsby and Anthony Solomon.