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Finding the Fourth Proportional to 834.49, 1,251.65 and 314.26

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Solution

The fourth proportional to 834.49, 1,251.65 and 314.26 is: 471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.49 : 1,251.65 = 314.26 : x
  2. Step 2: Convert to fraction form
    834.49/1,251.65 = 314.26/x
  3. Step 3: Cross multiply
    834.49x = 1,251.65 × 314.26
  4. Step 4: Simplify right side
    834.49x = 393,348.23
  5. Step 5: Solve for x
    x = 393,348.23/834.49
  6. Step 6: Final answer
    x = 471.37

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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.