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Finding the Fourth Proportional to 396.48, 547.08 and 221.78

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Solution

The fourth proportional to 396.48, 547.08 and 221.78 is: 306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.48 : 547.08 = 221.78 : x
  2. Step 2: Convert to fraction form
    396.48/547.08 = 221.78/x
  3. Step 3: Cross multiply
    396.48x = 547.08 × 221.78
  4. Step 4: Simplify right side
    396.48x = 121,331.40
  5. Step 5: Solve for x
    x = 121,331.40/396.48
  6. Step 6: Final answer
    x = 306.02

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