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Finding the Fourth Proportional to 634.64, 952.16 and 269.24

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Solution

The fourth proportional to 634.64, 952.16 and 269.24 is: 403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.64 : 952.16 = 269.24 : x
  2. Step 2: Convert to fraction form
    634.64/952.16 = 269.24/x
  3. Step 3: Cross multiply
    634.64x = 952.16 × 269.24
  4. Step 4: Simplify right side
    634.64x = 256,359.56
  5. Step 5: Solve for x
    x = 256,359.56/634.64
  6. Step 6: Final answer
    x = 403.94

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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.