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Finding the Fourth Proportional to 490.83, 677.33 and 269.78

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Solution

The fourth proportional to 490.83, 677.33 and 269.78 is: 372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.83 : 677.33 = 269.78 : x
  2. Step 2: Convert to fraction form
    490.83/677.33 = 269.78/x
  3. Step 3: Cross multiply
    490.83x = 677.33 × 269.78
  4. Step 4: Simplify right side
    490.83x = 182,732.46
  5. Step 5: Solve for x
    x = 182,732.46/490.83
  6. Step 6: Final answer
    x = 372.29

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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.