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Finding the Fourth Proportional to 942.43, 1,414.23 and 422.77

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Solution

The fourth proportional to 942.43, 1,414.23 and 422.77 is: 634.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.43 : 1,414.23 = 422.77 : x
  2. Step 2: Convert to fraction form
    942.43/1,414.23 = 422.77/x
  3. Step 3: Cross multiply
    942.43x = 1,414.23 × 422.77
  4. Step 4: Simplify right side
    942.43x = 597,884.83
  5. Step 5: Solve for x
    x = 597,884.83/942.43
  6. Step 6: Final answer
    x = 634.41

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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.