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Finding the Fourth Proportional to 490.89, 677.44 and 269.85

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Solution

The fourth proportional to 490.89, 677.44 and 269.85 is: 372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.89 : 677.44 = 269.85 : x
  2. Step 2: Convert to fraction form
    490.89/677.44 = 269.85/x
  3. Step 3: Cross multiply
    490.89x = 677.44 × 269.85
  4. Step 4: Simplify right side
    490.89x = 182,807.18
  5. Step 5: Solve for x
    x = 182,807.18/490.89
  6. Step 6: Final answer
    x = 372.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.