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Finding the Fourth Proportional to 422.24, 633.12 and 205.60

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Solution

The fourth proportional to 422.24, 633.12 and 205.60 is: 308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.24 : 633.12 = 205.60 : x
  2. Step 2: Convert to fraction form
    422.24/633.12 = 205.60/x
  3. Step 3: Cross multiply
    422.24x = 633.12 × 205.60
  4. Step 4: Simplify right side
    422.24x = 130,169.47
  5. Step 5: Solve for x
    x = 130,169.47/422.24
  6. Step 6: Final answer
    x = 308.28

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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.