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Finding the Fourth Proportional to 717.38, 1,076.06 and 204.38

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Solution

The fourth proportional to 717.38, 1,076.06 and 204.38 is: 306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.38 : 1,076.06 = 204.38 : x
  2. Step 2: Convert to fraction form
    717.38/1,076.06 = 204.38/x
  3. Step 3: Cross multiply
    717.38x = 1,076.06 × 204.38
  4. Step 4: Simplify right side
    717.38x = 219,920.27
  5. Step 5: Solve for x
    x = 219,920.27/717.38
  6. Step 6: Final answer
    x = 306.56

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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.