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Finding the Fourth Proportional to 344.75, 516.99 and 171.29

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Solution

The fourth proportional to 344.75, 516.99 and 171.29 is: 256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.75 : 516.99 = 171.29 : x
  2. Step 2: Convert to fraction form
    344.75/516.99 = 171.29/x
  3. Step 3: Cross multiply
    344.75x = 516.99 × 171.29
  4. Step 4: Simplify right side
    344.75x = 88,555.22
  5. Step 5: Solve for x
    x = 88,555.22/344.75
  6. Step 6: Final answer
    x = 256.87

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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.