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Finding the Fourth Proportional to 396.27, 546.69 and 221.58

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Solution

The fourth proportional to 396.27, 546.69 and 221.58 is: 305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.27 : 546.69 = 221.58 : x
  2. Step 2: Convert to fraction form
    396.27/546.69 = 221.58/x
  3. Step 3: Cross multiply
    396.27x = 546.69 × 221.58
  4. Step 4: Simplify right side
    396.27x = 121,135.57
  5. Step 5: Solve for x
    x = 121,135.57/396.27
  6. Step 6: Final answer
    x = 305.69

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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.