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Finding the Fourth Proportional to 593.50, 819.02 and 331.50

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Solution

The fourth proportional to 593.50, 819.02 and 331.50 is: 457.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.50 : 819.02 = 331.50 : x
  2. Step 2: Convert to fraction form
    593.50/819.02 = 331.50/x
  3. Step 3: Cross multiply
    593.50x = 819.02 × 331.50
  4. Step 4: Simplify right side
    593.50x = 271,505.13
  5. Step 5: Solve for x
    x = 271,505.13/593.50
  6. Step 6: Final answer
    x = 457.46

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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.