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Finding the Fourth Proportional to 396.37, 593.97 and 353.12

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Solution

The fourth proportional to 396.37, 593.97 and 353.12 is: 529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.37 : 593.97 = 353.12 : x
  2. Step 2: Convert to fraction form
    396.37/593.97 = 353.12/x
  3. Step 3: Cross multiply
    396.37x = 593.97 × 353.12
  4. Step 4: Simplify right side
    396.37x = 209,738.39
  5. Step 5: Solve for x
    x = 209,738.39/396.37
  6. Step 6: Final answer
    x = 529.15

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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.