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Finding the Fourth Proportional to 490.13, 676.38 and 269.07

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Solution

The fourth proportional to 490.13, 676.38 and 269.07 is: 371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.13 : 676.38 = 269.07 : x
  2. Step 2: Convert to fraction form
    490.13/676.38 = 269.07/x
  3. Step 3: Cross multiply
    490.13x = 676.38 × 269.07
  4. Step 4: Simplify right side
    490.13x = 181,993.57
  5. Step 5: Solve for x
    x = 181,993.57/490.13
  6. Step 6: Final answer
    x = 371.32

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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.