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Finding the Fourth Proportional to 396.17, 594.26 and 179.61

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Solution

The fourth proportional to 396.17, 594.26 and 179.61 is: 269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.17 : 594.26 = 179.61 : x
  2. Step 2: Convert to fraction form
    396.17/594.26 = 179.61/x
  3. Step 3: Cross multiply
    396.17x = 594.26 × 179.61
  4. Step 4: Simplify right side
    396.17x = 106,735.04
  5. Step 5: Solve for x
    x = 106,735.04/396.17
  6. Step 6: Final answer
    x = 269.42

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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.