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Finding the Fourth Proportional to 943.15, 1,414.27 and 423.16

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Solution

The fourth proportional to 943.15, 1,414.27 and 423.16 is: 634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.15 : 1,414.27 = 423.16 : x
  2. Step 2: Convert to fraction form
    943.15/1,414.27 = 423.16/x
  3. Step 3: Cross multiply
    943.15x = 1,414.27 × 423.16
  4. Step 4: Simplify right side
    943.15x = 598,462.49
  5. Step 5: Solve for x
    x = 598,462.49/943.15
  6. Step 6: Final answer
    x = 634.54

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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.