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Finding the Fourth Proportional to 490.06, 676.27 and 269.03

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Solution

The fourth proportional to 490.06, 676.27 and 269.03 is: 371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.06 : 676.27 = 269.03 : x
  2. Step 2: Convert to fraction form
    490.06/676.27 = 269.03/x
  3. Step 3: Cross multiply
    490.06x = 676.27 × 269.03
  4. Step 4: Simplify right side
    490.06x = 181,937.94
  5. Step 5: Solve for x
    x = 181,937.94/490.06
  6. Step 6: Final answer
    x = 371.26

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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.