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Finding the Fourth Proportional to 834.49, 1,251.33 and 257.23

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Solution

The fourth proportional to 834.49, 1,251.33 and 257.23 is: 385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.49 : 1,251.33 = 257.23 : x
  2. Step 2: Convert to fraction form
    834.49/1,251.33 = 257.23/x
  3. Step 3: Cross multiply
    834.49x = 1,251.33 × 257.23
  4. Step 4: Simplify right side
    834.49x = 321,879.62
  5. Step 5: Solve for x
    x = 321,879.62/834.49
  6. Step 6: Final answer
    x = 385.72

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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.