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Finding the Fourth Proportional to 490.29, 676.59 and 269.23

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Solution

The fourth proportional to 490.29, 676.59 and 269.23 is: 371.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.29 : 676.59 = 269.23 : x
  2. Step 2: Convert to fraction form
    490.29/676.59 = 269.23/x
  3. Step 3: Cross multiply
    490.29x = 676.59 × 269.23
  4. Step 4: Simplify right side
    490.29x = 182,158.33
  5. Step 5: Solve for x
    x = 182,158.33/490.29
  6. Step 6: Final answer
    x = 371.53

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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.