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Finding the Fourth Proportional to 546.28, 819.56 and 204.28

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Solution

The fourth proportional to 546.28, 819.56 and 204.28 is: 306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.28 : 819.56 = 204.28 : x
  2. Step 2: Convert to fraction form
    546.28/819.56 = 204.28/x
  3. Step 3: Cross multiply
    546.28x = 819.56 × 204.28
  4. Step 4: Simplify right side
    546.28x = 167,419.72
  5. Step 5: Solve for x
    x = 167,419.72/546.28
  6. Step 6: Final answer
    x = 306.47

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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.