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Finding the Fourth Proportional to 593.31, 819.23 and 469.61

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Solution

The fourth proportional to 593.31, 819.23 and 469.61 is: 648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.31 : 819.23 = 469.61 : x
  2. Step 2: Convert to fraction form
    593.31/819.23 = 469.61/x
  3. Step 3: Cross multiply
    593.31x = 819.23 × 469.61
  4. Step 4: Simplify right side
    593.31x = 384,718.60
  5. Step 5: Solve for x
    x = 384,718.60/593.31
  6. Step 6: Final answer
    x = 648.43

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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.