To find the length of the fossil in inches given that its length is [tex]\(50.76\)[/tex] feet, we will use the conversion fact that [tex]\(1\)[/tex] foot is equal to [tex]\(12\)[/tex] inches.
First, we start with the given length of the fossil in feet:
[tex]\[ 50.76 \, \text{ft} \][/tex]
We need to convert this length into inches. Knowing that [tex]\(1\)[/tex] foot equals [tex]\(12\)[/tex] inches, we can multiply the number of feet by the number of inches per foot:
[tex]\[ 50.76 \, \text{ft} \times 12 \, \text{in/ft} \][/tex]
Carrying out the multiplication:
[tex]\[ 50.76 \times 12 = 609.12 \, \text{inches} \][/tex]
Next, we need to round the result to the nearest tenth. The result [tex]\(609.12\)[/tex] inches, when rounded to the nearest tenth, is [tex]\(609.1\)[/tex] inches.
Therefore, the length of the fossil in inches, rounded to the nearest tenth, is:
[tex]\[ \boxed{609.1 \, \text{inches}} \][/tex]
