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Finding the Fourth Proportional to 523.86, 781.55 and 476.70

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Solution

The fourth proportional to 523.86, 781.55 and 476.70 is: 711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.86 : 781.55 = 476.70 : x
  2. Step 2: Convert to fraction form
    523.86/781.55 = 476.70/x
  3. Step 3: Cross multiply
    523.86x = 781.55 × 476.70
  4. Step 4: Simplify right side
    523.86x = 372,562.50
  5. Step 5: Solve for x
    x = 372,562.50/523.86
  6. Step 6: Final answer
    x = 711.19

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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.