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Finding the Fourth Proportional to 422.48, 633.64 and 191.12

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Solution

The fourth proportional to 422.48, 633.64 and 191.12 is: 286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.48 : 633.64 = 191.12 : x
  2. Step 2: Convert to fraction form
    422.48/633.64 = 191.12/x
  3. Step 3: Cross multiply
    422.48x = 633.64 × 191.12
  4. Step 4: Simplify right side
    422.48x = 121,101.28
  5. Step 5: Solve for x
    x = 121,101.28/422.48
  6. Step 6: Final answer
    x = 286.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.