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Finding the Fourth Proportional to 593.81, 819.47 and 331.82

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Solution

The fourth proportional to 593.81, 819.47 and 331.82 is: 457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.81 : 819.47 = 331.82 : x
  2. Step 2: Convert to fraction form
    593.81/819.47 = 331.82/x
  3. Step 3: Cross multiply
    593.81x = 819.47 × 331.82
  4. Step 4: Simplify right side
    593.81x = 271,916.54
  5. Step 5: Solve for x
    x = 271,916.54/593.81
  6. Step 6: Final answer
    x = 457.92

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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.