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Finding the Fourth Proportional to 943.43, 1,414.73 and 294.21

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Solution

The fourth proportional to 943.43, 1,414.73 and 294.21 is: 441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.43 : 1,414.73 = 294.21 : x
  2. Step 2: Convert to fraction form
    943.43/1,414.73 = 294.21/x
  3. Step 3: Cross multiply
    943.43x = 1,414.73 × 294.21
  4. Step 4: Simplify right side
    943.43x = 416,226.24
  5. Step 5: Solve for x
    x = 416,226.24/943.43
  6. Step 6: Final answer
    x = 441.19

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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.