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Finding the Fourth Proportional to 565.85, 781.06 and 356.43

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Solution

The fourth proportional to 565.85, 781.06 and 356.43 is: 491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.85 : 781.06 = 356.43 : x
  2. Step 2: Convert to fraction form
    565.85/781.06 = 356.43/x
  3. Step 3: Cross multiply
    565.85x = 781.06 × 356.43
  4. Step 4: Simplify right side
    565.85x = 278,395.92
  5. Step 5: Solve for x
    x = 278,395.92/565.85
  6. Step 6: Final answer
    x = 491.99

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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.