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Finding the Fourth Proportional to 546.42, 819.78 and 272.18

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Solution

The fourth proportional to 546.42, 819.78 and 272.18 is: 408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.42 : 819.78 = 272.18 : x
  2. Step 2: Convert to fraction form
    546.42/819.78 = 272.18/x
  3. Step 3: Cross multiply
    546.42x = 819.78 × 272.18
  4. Step 4: Simplify right side
    546.42x = 223,127.72
  5. Step 5: Solve for x
    x = 223,127.72/546.42
  6. Step 6: Final answer
    x = 408.34

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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.