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Finding the Fourth Proportional to 490.44, 676.76 and 269.38

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Solution

The fourth proportional to 490.44, 676.76 and 269.38 is: 371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.44 : 676.76 = 269.38 : x
  2. Step 2: Convert to fraction form
    490.44/676.76 = 269.38/x
  3. Step 3: Cross multiply
    490.44x = 676.76 × 269.38
  4. Step 4: Simplify right side
    490.44x = 182,305.61
  5. Step 5: Solve for x
    x = 182,305.61/490.44
  6. Step 6: Final answer
    x = 371.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.