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Finding the Fourth Proportional to 562.59, 775.92 and 404.91

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Solution

The fourth proportional to 562.59, 775.92 and 404.91 is: 558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.59 : 775.92 = 404.91 : x
  2. Step 2: Convert to fraction form
    562.59/775.92 = 404.91/x
  3. Step 3: Cross multiply
    562.59x = 775.92 × 404.91
  4. Step 4: Simplify right side
    562.59x = 314,177.77
  5. Step 5: Solve for x
    x = 314,177.77/562.59
  6. Step 6: Final answer
    x = 558.45

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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.