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Finding the Fourth Proportional to 490.56, 677.01 and 269.55

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Solution

The fourth proportional to 490.56, 677.01 and 269.55 is: 372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.56 : 677.01 = 269.55 : x
  2. Step 2: Convert to fraction form
    490.56/677.01 = 269.55/x
  3. Step 3: Cross multiply
    490.56x = 677.01 × 269.55
  4. Step 4: Simplify right side
    490.56x = 182,488.05
  5. Step 5: Solve for x
    x = 182,488.05/490.56
  6. Step 6: Final answer
    x = 372.00

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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.