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Finding the Fourth Proportional to 546.44, 819.49 and 199.71

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Solution

The fourth proportional to 546.44, 819.49 and 199.71 is: 299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.44 : 819.49 = 199.71 : x
  2. Step 2: Convert to fraction form
    546.44/819.49 = 199.71/x
  3. Step 3: Cross multiply
    546.44x = 819.49 × 199.71
  4. Step 4: Simplify right side
    546.44x = 163,660.35
  5. Step 5: Solve for x
    x = 163,660.35/546.44
  6. Step 6: Final answer
    x = 299.50

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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.