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Finding the Fourth Proportional to 942.62, 1,414.23 and 423.07

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Solution

The fourth proportional to 942.62, 1,414.23 and 423.07 is: 634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.62 : 1,414.23 = 423.07 : x
  2. Step 2: Convert to fraction form
    942.62/1,414.23 = 423.07/x
  3. Step 3: Cross multiply
    942.62x = 1,414.23 × 423.07
  4. Step 4: Simplify right side
    942.62x = 598,309.10
  5. Step 5: Solve for x
    x = 598,309.10/942.62
  6. Step 6: Final answer
    x = 634.73

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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.