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Finding the Fourth Proportional to 396.09, 593.12 and 233.89

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Solution

The fourth proportional to 396.09, 593.12 and 233.89 is: 350.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.09 : 593.12 = 233.89 : x
  2. Step 2: Convert to fraction form
    396.09/593.12 = 233.89/x
  3. Step 3: Cross multiply
    396.09x = 593.12 × 233.89
  4. Step 4: Simplify right side
    396.09x = 138,723.94
  5. Step 5: Solve for x
    x = 138,723.94/396.09
  6. Step 6: Final answer
    x = 350.23

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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.