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Finding the Fourth Proportional to 593.90, 819.61 and 331.94

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Solution

The fourth proportional to 593.90, 819.61 and 331.94 is: 458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.90 : 819.61 = 331.94 : x
  2. Step 2: Convert to fraction form
    593.90/819.61 = 331.94/x
  3. Step 3: Cross multiply
    593.90x = 819.61 × 331.94
  4. Step 4: Simplify right side
    593.90x = 272,061.34
  5. Step 5: Solve for x
    x = 272,061.34/593.90
  6. Step 6: Final answer
    x = 458.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.