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Finding the Fourth Proportional to 593.54, 819.24 and 344.91

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Solution

The fourth proportional to 593.54, 819.24 and 344.91 is: 476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.54 : 819.24 = 344.91 : x
  2. Step 2: Convert to fraction form
    593.54/819.24 = 344.91/x
  3. Step 3: Cross multiply
    593.54x = 819.24 × 344.91
  4. Step 4: Simplify right side
    593.54x = 282,564.07
  5. Step 5: Solve for x
    x = 282,564.07/593.54
  6. Step 6: Final answer
    x = 476.07

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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.