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Finding the Fourth Proportional to 614.80, 925.54 and 471.16

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Solution

The fourth proportional to 614.80, 925.54 and 471.16 is: 709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.80 : 925.54 = 471.16 : x
  2. Step 2: Convert to fraction form
    614.80/925.54 = 471.16/x
  3. Step 3: Cross multiply
    614.80x = 925.54 × 471.16
  4. Step 4: Simplify right side
    614.80x = 436,077.43
  5. Step 5: Solve for x
    x = 436,077.43/614.80
  6. Step 6: Final answer
    x = 709.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.