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Finding the Fourth Proportional to 422.24, 633.24 and 205.40

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Solution

The fourth proportional to 422.24, 633.24 and 205.40 is: 308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.24 : 633.24 = 205.40 : x
  2. Step 2: Convert to fraction form
    422.24/633.24 = 205.40/x
  3. Step 3: Cross multiply
    422.24x = 633.24 × 205.40
  4. Step 4: Simplify right side
    422.24x = 130,067.50
  5. Step 5: Solve for x
    x = 130,067.50/422.24
  6. Step 6: Final answer
    x = 308.04

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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.