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Finding the Fourth Proportional to 422.49, 633.42 and 191.49

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Solution

The fourth proportional to 422.49, 633.42 and 191.49 is: 287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.49 : 633.42 = 191.49 : x
  2. Step 2: Convert to fraction form
    422.49/633.42 = 191.49/x
  3. Step 3: Cross multiply
    422.49x = 633.42 × 191.49
  4. Step 4: Simplify right side
    422.49x = 121,293.60
  5. Step 5: Solve for x
    x = 121,293.60/422.49
  6. Step 6: Final answer
    x = 287.09

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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.