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Finding the Fourth Proportional to 396.50, 593.96 and 211.12

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Solution

The fourth proportional to 396.50, 593.96 and 211.12 is: 316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.50 : 593.96 = 211.12 : x
  2. Step 2: Convert to fraction form
    396.50/593.96 = 211.12/x
  3. Step 3: Cross multiply
    396.50x = 593.96 × 211.12
  4. Step 4: Simplify right side
    396.50x = 125,394.29
  5. Step 5: Solve for x
    x = 125,394.29/396.50
  6. Step 6: Final answer
    x = 316.26

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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.