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Finding the Fourth Proportional to 634.59, 952.16 and 269.46

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Solution

The fourth proportional to 634.59, 952.16 and 269.46 is: 404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.59 : 952.16 = 269.46 : x
  2. Step 2: Convert to fraction form
    634.59/952.16 = 269.46/x
  3. Step 3: Cross multiply
    634.59x = 952.16 × 269.46
  4. Step 4: Simplify right side
    634.59x = 256,569.03
  5. Step 5: Solve for x
    x = 256,569.03/634.59
  6. Step 6: Final answer
    x = 404.31

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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.