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Finding the Fourth Proportional to 396.69, 595.05 and 180.42

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Solution

The fourth proportional to 396.69, 595.05 and 180.42 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.69 : 595.05 = 180.42 : x
  2. Step 2: Convert to fraction form
    396.69/595.05 = 180.42/x
  3. Step 3: Cross multiply
    396.69x = 595.05 × 180.42
  4. Step 4: Simplify right side
    396.69x = 107,358.92
  5. Step 5: Solve for x
    x = 107,358.92/396.69
  6. Step 6: Final answer
    x = 270.64

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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.