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Finding the Fourth Proportional to 471.72, 651.09 and 314.53

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Solution

The fourth proportional to 471.72, 651.09 and 314.53 is: 434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.72 : 651.09 = 314.53 : x
  2. Step 2: Convert to fraction form
    471.72/651.09 = 314.53/x
  3. Step 3: Cross multiply
    471.72x = 651.09 × 314.53
  4. Step 4: Simplify right side
    471.72x = 204,788.78
  5. Step 5: Solve for x
    x = 204,788.78/471.72
  6. Step 6: Final answer
    x = 434.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.