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Finding the Fourth Proportional to 490.28, 676.60 and 269.25

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Solution

The fourth proportional to 490.28, 676.60 and 269.25 is: 371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.28 : 676.60 = 269.25 : x
  2. Step 2: Convert to fraction form
    490.28/676.60 = 269.25/x
  3. Step 3: Cross multiply
    490.28x = 676.60 × 269.25
  4. Step 4: Simplify right side
    490.28x = 182,169.82
  5. Step 5: Solve for x
    x = 182,169.82/490.28
  6. Step 6: Final answer
    x = 371.56

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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.