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Finding the Fourth Proportional to 834.20, 1,251.38 and 314.36

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Solution

The fourth proportional to 834.20, 1,251.38 and 314.36 is: 471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.20 : 1,251.38 = 314.36 : x
  2. Step 2: Convert to fraction form
    834.20/1,251.38 = 314.36/x
  3. Step 3: Cross multiply
    834.20x = 1,251.38 × 314.36
  4. Step 4: Simplify right side
    834.20x = 393,383.82
  5. Step 5: Solve for x
    x = 393,383.82/834.20
  6. Step 6: Final answer
    x = 471.57

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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.