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Finding the Fourth Proportional to 344.40, 516.65 and 171.07

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Solution

The fourth proportional to 344.40, 516.65 and 171.07 is: 256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.40 : 516.65 = 171.07 : x
  2. Step 2: Convert to fraction form
    344.40/516.65 = 171.07/x
  3. Step 3: Cross multiply
    344.40x = 516.65 × 171.07
  4. Step 4: Simplify right side
    344.40x = 88,382.98
  5. Step 5: Solve for x
    x = 88,382.98/344.40
  6. Step 6: Final answer
    x = 256.63

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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.