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Finding the Fourth Proportional to 565.72, 781.18 and 356.27

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Solution

The fourth proportional to 565.72, 781.18 and 356.27 is: 491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.72 : 781.18 = 356.27 : x
  2. Step 2: Convert to fraction form
    565.72/781.18 = 356.27/x
  3. Step 3: Cross multiply
    565.72x = 781.18 × 356.27
  4. Step 4: Simplify right side
    565.72x = 278,306.20
  5. Step 5: Solve for x
    x = 278,306.20/565.72
  6. Step 6: Final answer
    x = 491.95

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Why These Related Problems?

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