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Finding the Fourth Proportional to 834.10, 1,251.34 and 286.32

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Solution

The fourth proportional to 834.10, 1,251.34 and 286.32 is: 429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.10 : 1,251.34 = 286.32 : x
  2. Step 2: Convert to fraction form
    834.10/1,251.34 = 286.32/x
  3. Step 3: Cross multiply
    834.10x = 1,251.34 × 286.32
  4. Step 4: Simplify right side
    834.10x = 358,283.67
  5. Step 5: Solve for x
    x = 358,283.67/834.10
  6. Step 6: Final answer
    x = 429.55

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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.