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Finding the Fourth Proportional to 396.29, 546.89 and 219.24

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Solution

The fourth proportional to 396.29, 546.89 and 219.24 is: 302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.29 : 546.89 = 219.24 : x
  2. Step 2: Convert to fraction form
    396.29/546.89 = 219.24/x
  3. Step 3: Cross multiply
    396.29x = 546.89 × 219.24
  4. Step 4: Simplify right side
    396.29x = 119,899.07
  5. Step 5: Solve for x
    x = 119,899.07/396.29
  6. Step 6: Final answer
    x = 302.55

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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.