The string for a high note on a piano has a fundamental frequency of $4,200$ Hz and a length of $0\mathrm{.}032$ m$.$ The string for a low note on the same piano has a fundamental frequency of $39\mathrm{.}4$ Hz$.$ If these strings differ only in terms of length, what is the length of the string for this low note?

Give your answer in units of m$,$ accurate to $1$ decimal place.