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Finding the Fourth Proportional to 565.90, 781.17 and 344.92

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Solution

The fourth proportional to 565.90, 781.17 and 344.92 is: 476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.90 : 781.17 = 344.92 : x
  2. Step 2: Convert to fraction form
    565.90/781.17 = 344.92/x
  3. Step 3: Cross multiply
    565.90x = 781.17 × 344.92
  4. Step 4: Simplify right side
    565.90x = 269,441.16
  5. Step 5: Solve for x
    x = 269,441.16/565.90
  6. Step 6: Final answer
    x = 476.13

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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.