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Finding the Fourth Proportional to 344.54, 517.05 and 190.43

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Solution

The fourth proportional to 344.54, 517.05 and 190.43 is: 285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.54 : 517.05 = 190.43 : x
  2. Step 2: Convert to fraction form
    344.54/517.05 = 190.43/x
  3. Step 3: Cross multiply
    344.54x = 517.05 × 190.43
  4. Step 4: Simplify right side
    344.54x = 98,459.25
  5. Step 5: Solve for x
    x = 98,459.25/344.54
  6. Step 6: Final answer
    x = 285.77

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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.