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Finding the Fourth Proportional to 639.92, 959.66 and 269.48

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Solution

The fourth proportional to 639.92, 959.66 and 269.48 is: 404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.92 : 959.66 = 269.48 : x
  2. Step 2: Convert to fraction form
    639.92/959.66 = 269.48/x
  3. Step 3: Cross multiply
    639.92x = 959.66 × 269.48
  4. Step 4: Simplify right side
    639.92x = 258,609.18
  5. Step 5: Solve for x
    x = 258,609.18/639.92
  6. Step 6: Final answer
    x = 404.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.