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Finding the Fourth Proportional to 635.27, 952.13 and 288.69

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Solution

The fourth proportional to 635.27, 952.13 and 288.69 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.27 : 952.13 = 288.69 : x
  2. Step 2: Convert to fraction form
    635.27/952.13 = 288.69/x
  3. Step 3: Cross multiply
    635.27x = 952.13 × 288.69
  4. Step 4: Simplify right side
    635.27x = 274,867.56
  5. Step 5: Solve for x
    x = 274,867.56/635.27
  6. Step 6: Final answer
    x = 432.68

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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.