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Finding the Fourth Proportional to 546.92, 819.78 and 254.56

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Solution

The fourth proportional to 546.92, 819.78 and 254.56 is: 381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.92 : 819.78 = 254.56 : x
  2. Step 2: Convert to fraction form
    546.92/819.78 = 254.56/x
  3. Step 3: Cross multiply
    546.92x = 819.78 × 254.56
  4. Step 4: Simplify right side
    546.92x = 208,683.20
  5. Step 5: Solve for x
    x = 208,683.20/546.92
  6. Step 6: Final answer
    x = 381.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.