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Finding the Fourth Proportional to 565.98, 781.07 and 317.31

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Solution

The fourth proportional to 565.98, 781.07 and 317.31 is: 437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.98 : 781.07 = 317.31 : x
  2. Step 2: Convert to fraction form
    565.98/781.07 = 317.31/x
  3. Step 3: Cross multiply
    565.98x = 781.07 × 317.31
  4. Step 4: Simplify right side
    565.98x = 247,841.32
  5. Step 5: Solve for x
    x = 247,841.32/565.98
  6. Step 6: Final answer
    x = 437.90

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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.