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Finding the Fourth Proportional to 490.47, 676.84 and 269.42

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Solution

The fourth proportional to 490.47, 676.84 and 269.42 is: 371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.47 : 676.84 = 269.42 : x
  2. Step 2: Convert to fraction form
    490.47/676.84 = 269.42/x
  3. Step 3: Cross multiply
    490.47x = 676.84 × 269.42
  4. Step 4: Simplify right side
    490.47x = 182,354.23
  5. Step 5: Solve for x
    x = 182,354.23/490.47
  6. Step 6: Final answer
    x = 371.79

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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.