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Finding the Fourth Proportional to 635.24, 952.02 and 269.57

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Solution

The fourth proportional to 635.24, 952.02 and 269.57 is: 404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.24 : 952.02 = 269.57 : x
  2. Step 2: Convert to fraction form
    635.24/952.02 = 269.57/x
  3. Step 3: Cross multiply
    635.24x = 952.02 × 269.57
  4. Step 4: Simplify right side
    635.24x = 256,634.68
  5. Step 5: Solve for x
    x = 256,634.68/635.24
  6. Step 6: Final answer
    x = 404.00

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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.