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Finding the Fourth Proportional to 562.68, 844.18 and 408.76

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Solution

The fourth proportional to 562.68, 844.18 and 408.76 is: 613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.68 : 844.18 = 408.76 : x
  2. Step 2: Convert to fraction form
    562.68/844.18 = 408.76/x
  3. Step 3: Cross multiply
    562.68x = 844.18 × 408.76
  4. Step 4: Simplify right side
    562.68x = 345,067.02
  5. Step 5: Solve for x
    x = 345,067.02/562.68
  6. Step 6: Final answer
    x = 613.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.