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Finding the Fourth Proportional to 834.46, 1,251.69 and 257.34

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Solution

The fourth proportional to 834.46, 1,251.69 and 257.34 is: 386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.46 : 1,251.69 = 257.34 : x
  2. Step 2: Convert to fraction form
    834.46/1,251.69 = 257.34/x
  3. Step 3: Cross multiply
    834.46x = 1,251.69 × 257.34
  4. Step 4: Simplify right side
    834.46x = 322,109.90
  5. Step 5: Solve for x
    x = 322,109.90/834.46
  6. Step 6: Final answer
    x = 386.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.