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Finding the Fourth Proportional to 490.57, 676.94 and 269.47

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Solution

The fourth proportional to 490.57, 676.94 and 269.47 is: 371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.57 : 676.94 = 269.47 : x
  2. Step 2: Convert to fraction form
    490.57/676.94 = 269.47/x
  3. Step 3: Cross multiply
    490.57x = 676.94 × 269.47
  4. Step 4: Simplify right side
    490.57x = 182,415.02
  5. Step 5: Solve for x
    x = 182,415.02/490.57
  6. Step 6: Final answer
    x = 371.85

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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.