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Finding the Fourth Proportional to 942.27, 1,412.11 and 422.43

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Solution

The fourth proportional to 942.27, 1,412.11 and 422.43 is: 633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.27 : 1,412.11 = 422.43 : x
  2. Step 2: Convert to fraction form
    942.27/1,412.11 = 422.43/x
  3. Step 3: Cross multiply
    942.27x = 1,412.11 × 422.43
  4. Step 4: Simplify right side
    942.27x = 596,517.63
  5. Step 5: Solve for x
    x = 596,517.63/942.27
  6. Step 6: Final answer
    x = 633.06

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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.