A student has a variable length air tube that is open at both ends and a $345\ Hz$ tuning fork. The student finds that the tube resonates with the tuning fork when the tube is a specific length. As the student slowly lengthens the air tube, the student notices no more resonance until the tube is 0.487 meters longer than the previous resonant length.
From this information, the student calculates the speed of sound. What value does he calculate?