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Finding the Fourth Proportional to 396.55, 547.25 and 221.91

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Solution

The fourth proportional to 396.55, 547.25 and 221.91 is: 306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.55 : 547.25 = 221.91 : x
  2. Step 2: Convert to fraction form
    396.55/547.25 = 221.91/x
  3. Step 3: Cross multiply
    396.55x = 547.25 × 221.91
  4. Step 4: Simplify right side
    396.55x = 121,440.25
  5. Step 5: Solve for x
    x = 121,440.25/396.55
  6. Step 6: Final answer
    x = 306.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.