Do more expensive violin strings make a difference?
Maybe the problem isn’t the string itself, but some kind of flaw in the workmanship of the violin that doesn’t let the string vibrate freely enough. Check the depth of the groove at the nut, shape and groove cut of the bridge, and the winding of the string on the peg; these are the components in the violin that directly affect the string. If it has fine tuners on the tail piece maybe the mechanism on the A tuner is somehow stuck and not letting the string vibrate fully. Of course, the first thing to do if these suggestions are spurious is to replace the string; if your other strings sound good- you likely got a dud A, so try replacing it with an A of comparable quality. Putting high quality strings on a cheap instrument won’t make it a Stradivarius, but it might improve the tone somewhat within the ability of the sound box to resonate the vibrations. I wouldn’t get carried away with this, though; under no circumstances can putting high end tires on a Daewoo automobile make it a Ferrari