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Finding the Fourth Proportional to 635.22, 952.54 and 224.23

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Solution

The fourth proportional to 635.22, 952.54 and 224.23 is: 336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.22 : 952.54 = 224.23 : x
  2. Step 2: Convert to fraction form
    635.22/952.54 = 224.23/x
  3. Step 3: Cross multiply
    635.22x = 952.54 × 224.23
  4. Step 4: Simplify right side
    635.22x = 213,588.04
  5. Step 5: Solve for x
    x = 213,588.04/635.22
  6. Step 6: Final answer
    x = 336.24

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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.