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Finding the Fourth Proportional to 396.14, 546.70 and 221.49

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Solution

The fourth proportional to 396.14, 546.70 and 221.49 is: 305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.14 : 546.70 = 221.49 : x
  2. Step 2: Convert to fraction form
    396.14/546.70 = 221.49/x
  3. Step 3: Cross multiply
    396.14x = 546.70 × 221.49
  4. Step 4: Simplify right side
    396.14x = 121,085.85
  5. Step 5: Solve for x
    x = 121,085.85/396.14
  6. Step 6: Final answer
    x = 305.66

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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.