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Finding the Fourth Proportional to 396, 546.36 and 248.78

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Solution

The fourth proportional to 396, 546.36 and 248.78 is: 343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 546.36 = 248.78 : x
  2. Step 2: Convert to fraction form
    396/546.36 = 248.78/x
  3. Step 3: Cross multiply
    396x = 546.36 × 248.78
  4. Step 4: Simplify right side
    396x = 135,923.44
  5. Step 5: Solve for x
    x = 135,923.44/396
  6. Step 6: Final answer
    x = 343.24

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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.