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Finding the Fourth Proportional to 396.13, 546.66 and 219.11

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Solution

The fourth proportional to 396.13, 546.66 and 219.11 is: 302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.13 : 546.66 = 219.11 : x
  2. Step 2: Convert to fraction form
    396.13/546.66 = 219.11/x
  3. Step 3: Cross multiply
    396.13x = 546.66 × 219.11
  4. Step 4: Simplify right side
    396.13x = 119,777.44
  5. Step 5: Solve for x
    x = 119,777.44/396.13
  6. Step 6: Final answer
    x = 302.37

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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.