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Finding the Fourth Proportional to 317.93, 473.42 and 316.58

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Solution

The fourth proportional to 317.93, 473.42 and 316.58 is: 471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.93 : 473.42 = 316.58 : x
  2. Step 2: Convert to fraction form
    317.93/473.42 = 316.58/x
  3. Step 3: Cross multiply
    317.93x = 473.42 × 316.58
  4. Step 4: Simplify right side
    317.93x = 149,873.73
  5. Step 5: Solve for x
    x = 149,873.73/317.93
  6. Step 6: Final answer
    x = 471.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.