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Finding the Fourth Proportional to 490.49, 676.85 and 269.45

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Solution

The fourth proportional to 490.49, 676.85 and 269.45 is: 371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.49 : 676.85 = 269.45 : x
  2. Step 2: Convert to fraction form
    490.49/676.85 = 269.45/x
  3. Step 3: Cross multiply
    490.49x = 676.85 × 269.45
  4. Step 4: Simplify right side
    490.49x = 182,377.23
  5. Step 5: Solve for x
    x = 182,377.23/490.49
  6. Step 6: Final answer
    x = 371.83

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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.