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Finding the Fourth Proportional to 396.30, 546.89 and 221.66

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Solution

The fourth proportional to 396.30, 546.89 and 221.66 is: 305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.30 : 546.89 = 221.66 : x
  2. Step 2: Convert to fraction form
    396.30/546.89 = 221.66/x
  3. Step 3: Cross multiply
    396.30x = 546.89 × 221.66
  4. Step 4: Simplify right side
    396.30x = 121,219.79
  5. Step 5: Solve for x
    x = 121,219.79/396.30
  6. Step 6: Final answer
    x = 305.88

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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.