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Finding the Fourth Proportional to 546.40, 819.68 and 272.40

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Solution

The fourth proportional to 546.40, 819.68 and 272.40 is: 408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.40 : 819.68 = 272.40 : x
  2. Step 2: Convert to fraction form
    546.40/819.68 = 272.40/x
  3. Step 3: Cross multiply
    546.40x = 819.68 × 272.40
  4. Step 4: Simplify right side
    546.40x = 223,280.83
  5. Step 5: Solve for x
    x = 223,280.83/546.40
  6. Step 6: Final answer
    x = 408.64

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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.