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Finding the Fourth Proportional to 396, 593.18 and 241.46

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Solution

The fourth proportional to 396, 593.18 and 241.46 is: 361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 593.18 = 241.46 : x
  2. Step 2: Convert to fraction form
    396/593.18 = 241.46/x
  3. Step 3: Cross multiply
    396x = 593.18 × 241.46
  4. Step 4: Simplify right side
    396x = 143,229.24
  5. Step 5: Solve for x
    x = 143,229.24/396
  6. Step 6: Final answer
    x = 361.69

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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.