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Finding the Fourth Proportional to 593.52, 819.23 and 344.96

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Solution

The fourth proportional to 593.52, 819.23 and 344.96 is: 476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.52 : 819.23 = 344.96 : x
  2. Step 2: Convert to fraction form
    593.52/819.23 = 344.96/x
  3. Step 3: Cross multiply
    593.52x = 819.23 × 344.96
  4. Step 4: Simplify right side
    593.52x = 282,595.76
  5. Step 5: Solve for x
    x = 282,595.76/593.52
  6. Step 6: Final answer
    x = 476.14

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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.