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Finding the Fourth Proportional to 396.28, 546.86 and 219.24

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Solution

The fourth proportional to 396.28, 546.86 and 219.24 is: 302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.28 : 546.86 = 219.24 : x
  2. Step 2: Convert to fraction form
    396.28/546.86 = 219.24/x
  3. Step 3: Cross multiply
    396.28x = 546.86 × 219.24
  4. Step 4: Simplify right side
    396.28x = 119,890.86
  5. Step 5: Solve for x
    x = 119,890.86/396.28
  6. Step 6: Final answer
    x = 302.54

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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.