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Finding the Fourth Proportional to 593.78, 819.46 and 331.84

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Solution

The fourth proportional to 593.78, 819.46 and 331.84 is: 457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.78 : 819.46 = 331.84 : x
  2. Step 2: Convert to fraction form
    593.78/819.46 = 331.84/x
  3. Step 3: Cross multiply
    593.78x = 819.46 × 331.84
  4. Step 4: Simplify right side
    593.78x = 271,929.61
  5. Step 5: Solve for x
    x = 271,929.61/593.78
  6. Step 6: Final answer
    x = 457.96

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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.