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Finding the Fourth Proportional to 593.82, 819.48 and 331.86

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Solution

The fourth proportional to 593.82, 819.48 and 331.86 is: 457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.82 : 819.48 = 331.86 : x
  2. Step 2: Convert to fraction form
    593.82/819.48 = 331.86/x
  3. Step 3: Cross multiply
    593.82x = 819.48 × 331.86
  4. Step 4: Simplify right side
    593.82x = 271,952.63
  5. Step 5: Solve for x
    x = 271,952.63/593.82
  6. Step 6: Final answer
    x = 457.97

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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.