Unless you have a crappy PSU, the fan should spin only as fast as it needs to. It should spin at full speed only when the PSU needs it; otherwise it probably will be noisy.
Old fan: 85.2 CFM (145 m³/h), 0.37A, 4.44W
New fan: 93,4 m³/h (55 CFM), 0.05A , 0.6W
While the new fan definitely is quieter, that's a significant difference. If you never use that PSU close to it's rated output, then it may work. Personnally I would install a quieter fan having similar characteristics.