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Finding the Fourth Proportional to 396.43, 594.78 and 177.21

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Solution

The fourth proportional to 396.43, 594.78 and 177.21 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.43 : 594.78 = 177.21 : x
  2. Step 2: Convert to fraction form
    396.43/594.78 = 177.21/x
  3. Step 3: Cross multiply
    396.43x = 594.78 × 177.21
  4. Step 4: Simplify right side
    396.43x = 105,397.10
  5. Step 5: Solve for x
    x = 105,397.10/396.43
  6. Step 6: Final answer
    x = 265.87

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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.