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Finding the Fourth Proportional to 490.34, 676.62 and 269.28

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Solution

The fourth proportional to 490.34, 676.62 and 269.28 is: 371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.34 : 676.62 = 269.28 : x
  2. Step 2: Convert to fraction form
    490.34/676.62 = 269.28/x
  3. Step 3: Cross multiply
    490.34x = 676.62 × 269.28
  4. Step 4: Simplify right side
    490.34x = 182,200.23
  5. Step 5: Solve for x
    x = 182,200.23/490.34
  6. Step 6: Final answer
    x = 371.58

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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.