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Finding the Fourth Proportional to 490.27, 676.49 and 269.23

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Solution

The fourth proportional to 490.27, 676.49 and 269.23 is: 371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.27 : 676.49 = 269.23 : x
  2. Step 2: Convert to fraction form
    490.27/676.49 = 269.23/x
  3. Step 3: Cross multiply
    490.27x = 676.49 × 269.23
  4. Step 4: Simplify right side
    490.27x = 182,128.69
  5. Step 5: Solve for x
    x = 182,128.69/490.27
  6. Step 6: Final answer
    x = 371.49

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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.