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Finding the Fourth Proportional to 595.53, 819.18 and 527.85

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Solution

The fourth proportional to 595.53, 819.18 and 527.85 is: 726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.53 : 819.18 = 527.85 : x
  2. Step 2: Convert to fraction form
    595.53/819.18 = 527.85/x
  3. Step 3: Cross multiply
    595.53x = 819.18 × 527.85
  4. Step 4: Simplify right side
    595.53x = 432,404.16
  5. Step 5: Solve for x
    x = 432,404.16/595.53
  6. Step 6: Final answer
    x = 726.08

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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.