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Finding the Fourth Proportional to 490.16, 676.42 and 269.12

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Solution

The fourth proportional to 490.16, 676.42 and 269.12 is: 371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 676.42 = 269.12 : x
  2. Step 2: Convert to fraction form
    490.16/676.42 = 269.12/x
  3. Step 3: Cross multiply
    490.16x = 676.42 × 269.12
  4. Step 4: Simplify right side
    490.16x = 182,038.15
  5. Step 5: Solve for x
    x = 182,038.15/490.16
  6. Step 6: Final answer
    x = 371.39

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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.