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Finding the Fourth Proportional to 344.89, 517.39 and 190.97

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Solution

The fourth proportional to 344.89, 517.39 and 190.97 is: 286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.89 : 517.39 = 190.97 : x
  2. Step 2: Convert to fraction form
    344.89/517.39 = 190.97/x
  3. Step 3: Cross multiply
    344.89x = 517.39 × 190.97
  4. Step 4: Simplify right side
    344.89x = 98,802.90
  5. Step 5: Solve for x
    x = 98,802.90/344.89
  6. Step 6: Final answer
    x = 286.48

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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.