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Finding the Fourth Proportional to 593.12, 819.42 and 476.48

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Solution

The fourth proportional to 593.12, 819.42 and 476.48 is: 658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.12 : 819.42 = 476.48 : x
  2. Step 2: Convert to fraction form
    593.12/819.42 = 476.48/x
  3. Step 3: Cross multiply
    593.12x = 819.42 × 476.48
  4. Step 4: Simplify right side
    593.12x = 390,437.24
  5. Step 5: Solve for x
    x = 390,437.24/593.12
  6. Step 6: Final answer
    x = 658.28

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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.