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Finding the Fourth Proportional to 593.31, 819.20 and 383.61

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Solution

The fourth proportional to 593.31, 819.20 and 383.61 is: 529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.31 : 819.20 = 383.61 : x
  2. Step 2: Convert to fraction form
    593.31/819.20 = 383.61/x
  3. Step 3: Cross multiply
    593.31x = 819.20 × 383.61
  4. Step 4: Simplify right side
    593.31x = 314,252.74
  5. Step 5: Solve for x
    x = 314,252.74/593.31
  6. Step 6: Final answer
    x = 529.66

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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.