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Finding the Fourth Proportional to 490.27, 676.58 and 269.22

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Solution

The fourth proportional to 490.27, 676.58 and 269.22 is: 371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.27 : 676.58 = 269.22 : x
  2. Step 2: Convert to fraction form
    490.27/676.58 = 269.22/x
  3. Step 3: Cross multiply
    490.27x = 676.58 × 269.22
  4. Step 4: Simplify right side
    490.27x = 182,148.87
  5. Step 5: Solve for x
    x = 182,148.87/490.27
  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.