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Finding the Fourth Proportional to 546.24, 819.36 and 204

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Solution

The fourth proportional to 546.24, 819.36 and 204 is: 306

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 819.36 = 204 : x
  2. Step 2: Convert to fraction form
    546.24/819.36 = 204/x
  3. Step 3: Cross multiply
    546.24x = 819.36 × 204
  4. Step 4: Simplify right side
    546.24x = 167,149.44
  5. Step 5: Solve for x
    x = 167,149.44/546.24
  6. Step 6: Final answer
    x = 306

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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.