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Finding the Fourth Proportional to 593.79, 819.41 and 331.80

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Solution

The fourth proportional to 593.79, 819.41 and 331.80 is: 457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.79 : 819.41 = 331.80 : x
  2. Step 2: Convert to fraction form
    593.79/819.41 = 331.80/x
  3. Step 3: Cross multiply
    593.79x = 819.41 × 331.80
  4. Step 4: Simplify right side
    593.79x = 271,883.12
  5. Step 5: Solve for x
    x = 271,883.12/593.79
  6. Step 6: Final answer
    x = 457.88

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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.