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Finding the Fourth Proportional to 942.45, 1,414.22 and 422.43

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Solution

The fourth proportional to 942.45, 1,414.22 and 422.43 is: 633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.45 : 1,414.22 = 422.43 : x
  2. Step 2: Convert to fraction form
    942.45/1,414.22 = 422.43/x
  3. Step 3: Cross multiply
    942.45x = 1,414.22 × 422.43
  4. Step 4: Simplify right side
    942.45x = 597,406.84
  5. Step 5: Solve for x
    x = 597,406.84/942.45
  6. Step 6: Final answer
    x = 633.89

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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.