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Finding the Fourth Proportional to 396.19, 593.49 and 362.35

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Solution

The fourth proportional to 396.19, 593.49 and 362.35 is: 542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.19 : 593.49 = 362.35 : x
  2. Step 2: Convert to fraction form
    396.19/593.49 = 362.35/x
  3. Step 3: Cross multiply
    396.19x = 593.49 × 362.35
  4. Step 4: Simplify right side
    396.19x = 215,048.13
  5. Step 5: Solve for x
    x = 215,048.13/396.19
  6. Step 6: Final answer
    x = 542.80

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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.