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Finding the Fourth Proportional to 396.92, 547.88 and 278.79

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Solution

The fourth proportional to 396.92, 547.88 and 278.79 is: 384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.92 : 547.88 = 278.79 : x
  2. Step 2: Convert to fraction form
    396.92/547.88 = 278.79/x
  3. Step 3: Cross multiply
    396.92x = 547.88 × 278.79
  4. Step 4: Simplify right side
    396.92x = 152,743.47
  5. Step 5: Solve for x
    x = 152,743.47/396.92
  6. Step 6: Final answer
    x = 384.82

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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.