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Finding the Fourth Proportional to 587.27, 878.31 and 522.72

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Solution

The fourth proportional to 587.27, 878.31 and 522.72 is: 781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.27 : 878.31 = 522.72 : x
  2. Step 2: Convert to fraction form
    587.27/878.31 = 522.72/x
  3. Step 3: Cross multiply
    587.27x = 878.31 × 522.72
  4. Step 4: Simplify right side
    587.27x = 459,110.20
  5. Step 5: Solve for x
    x = 459,110.20/587.27
  6. Step 6: Final answer
    x = 781.78

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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.