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Finding the Fourth Proportional to 490.54, 676.89 and 269.49

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Solution

The fourth proportional to 490.54, 676.89 and 269.49 is: 371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.54 : 676.89 = 269.49 : x
  2. Step 2: Convert to fraction form
    490.54/676.89 = 269.49/x
  3. Step 3: Cross multiply
    490.54x = 676.89 × 269.49
  4. Step 4: Simplify right side
    490.54x = 182,415.09
  5. Step 5: Solve for x
    x = 182,415.09/490.54
  6. Step 6: Final answer
    x = 371.87

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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.