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Finding the Fourth Proportional to 593.66, 819.70 and 462.44

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Solution

The fourth proportional to 593.66, 819.70 and 462.44 is: 638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.66 : 819.70 = 462.44 : x
  2. Step 2: Convert to fraction form
    593.66/819.70 = 462.44/x
  3. Step 3: Cross multiply
    593.66x = 819.70 × 462.44
  4. Step 4: Simplify right side
    593.66x = 379,057.97
  5. Step 5: Solve for x
    x = 379,057.97/593.66
  6. Step 6: Final answer
    x = 638.52

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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.