A sample of iron ore weighing $0.2792 \mathrm{~g}$ was dissolved in an excess of a dilute acid solution. All the iron was first converted to Fe(II) ions. The solution then required $23.30 \mathrm{~mL}$ of $0.0194 \mathrm{M} \mathrm{KMnO}_{4}$ for oxidation to Fe(III) ions. Calculate the percent by mass of iron in the ore