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Finding the Fourth Proportional to 491.38, 736.97 and 247.97

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Solution

The fourth proportional to 491.38, 736.97 and 247.97 is: 371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.38 : 736.97 = 247.97 : x
  2. Step 2: Convert to fraction form
    491.38/736.97 = 247.97/x
  3. Step 3: Cross multiply
    491.38x = 736.97 × 247.97
  4. Step 4: Simplify right side
    491.38x = 182,747.05
  5. Step 5: Solve for x
    x = 182,747.05/491.38
  6. Step 6: Final answer
    x = 371.91

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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.