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Finding the Fourth Proportional to 943.75, 1,414.66 and 396.25

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Solution

The fourth proportional to 943.75, 1,414.66 and 396.25 is: 593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.75 : 1,414.66 = 396.25 : x
  2. Step 2: Convert to fraction form
    943.75/1,414.66 = 396.25/x
  3. Step 3: Cross multiply
    943.75x = 1,414.66 × 396.25
  4. Step 4: Simplify right side
    943.75x = 560,559.03
  5. Step 5: Solve for x
    x = 560,559.03/943.75
  6. Step 6: Final answer
    x = 593.97

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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.