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Finding the Fourth Proportional to 347.92, 480.15 and 200.59

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Solution

The fourth proportional to 347.92, 480.15 and 200.59 is: 276.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.92 : 480.15 = 200.59 : x
  2. Step 2: Convert to fraction form
    347.92/480.15 = 200.59/x
  3. Step 3: Cross multiply
    347.92x = 480.15 × 200.59
  4. Step 4: Simplify right side
    347.92x = 96,313.29
  5. Step 5: Solve for x
    x = 96,313.29/347.92
  6. Step 6: Final answer
    x = 276.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.