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Finding the Fourth Proportional to 490.26, 676.57 and 269.22

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Solution

The fourth proportional to 490.26, 676.57 and 269.22 is: 371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.26 : 676.57 = 269.22 : x
  2. Step 2: Convert to fraction form
    490.26/676.57 = 269.22/x
  3. Step 3: Cross multiply
    490.26x = 676.57 × 269.22
  4. Step 4: Simplify right side
    490.26x = 182,144.74
  5. Step 5: Solve for x
    x = 182,144.74/490.26
  6. Step 6: Final answer
    x = 371.53

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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.