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Finding the Fourth Proportional to 396.89, 593.96 and 314.88

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Solution

The fourth proportional to 396.89, 593.96 and 314.88 is: 471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.89 : 593.96 = 314.88 : x
  2. Step 2: Convert to fraction form
    396.89/593.96 = 314.88/x
  3. Step 3: Cross multiply
    396.89x = 593.96 × 314.88
  4. Step 4: Simplify right side
    396.89x = 187,026.12
  5. Step 5: Solve for x
    x = 187,026.12/396.89
  6. Step 6: Final answer
    x = 471.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.