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Finding the Fourth Proportional to 635.24, 952.98 and 224.62

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Solution

The fourth proportional to 635.24, 952.98 and 224.62 is: 336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.24 : 952.98 = 224.62 : x
  2. Step 2: Convert to fraction form
    635.24/952.98 = 224.62/x
  3. Step 3: Cross multiply
    635.24x = 952.98 × 224.62
  4. Step 4: Simplify right side
    635.24x = 214,055.14
  5. Step 5: Solve for x
    x = 214,055.14/635.24
  6. Step 6: Final answer
    x = 336.97

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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.