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Finding the Fourth Proportional to 396.20, 546.78 and 219.18

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Solution

The fourth proportional to 396.20, 546.78 and 219.18 is: 302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.20 : 546.78 = 219.18 : x
  2. Step 2: Convert to fraction form
    396.20/546.78 = 219.18/x
  3. Step 3: Cross multiply
    396.20x = 546.78 × 219.18
  4. Step 4: Simplify right side
    396.20x = 119,843.24
  5. Step 5: Solve for x
    x = 119,843.24/396.20
  6. Step 6: Final answer
    x = 302.48

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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.