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Finding the Fourth Proportional to 344.57, 516.91 and 113.47

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Solution

The fourth proportional to 344.57, 516.91 and 113.47 is: 170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.57 : 516.91 = 113.47 : x
  2. Step 2: Convert to fraction form
    344.57/516.91 = 113.47/x
  3. Step 3: Cross multiply
    344.57x = 516.91 × 113.47
  4. Step 4: Simplify right side
    344.57x = 58,651.19
  5. Step 5: Solve for x
    x = 58,651.19/344.57
  6. Step 6: Final answer
    x = 170.22

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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.