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Finding the Fourth Proportional to 490.97, 677.54 and 269.91

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Solution

The fourth proportional to 490.97, 677.54 and 269.91 is: 372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.97 : 677.54 = 269.91 : x
  2. Step 2: Convert to fraction form
    490.97/677.54 = 269.91/x
  3. Step 3: Cross multiply
    490.97x = 677.54 × 269.91
  4. Step 4: Simplify right side
    490.97x = 182,873.47
  5. Step 5: Solve for x
    x = 182,873.47/490.97
  6. Step 6: Final answer
    x = 372.48

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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.