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Finding the Fourth Proportional to 396.32, 593.95 and 213.32

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Solution

The fourth proportional to 396.32, 593.95 and 213.32 is: 319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.32 : 593.95 = 213.32 : x
  2. Step 2: Convert to fraction form
    396.32/593.95 = 213.32/x
  3. Step 3: Cross multiply
    396.32x = 593.95 × 213.32
  4. Step 4: Simplify right side
    396.32x = 126,701.41
  5. Step 5: Solve for x
    x = 126,701.41/396.32
  6. Step 6: Final answer
    x = 319.69

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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.