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Finding the Fourth Proportional to 392.76, 588.87 and 200.34

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Solution

The fourth proportional to 392.76, 588.87 and 200.34 is: 300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.76 : 588.87 = 200.34 : x
  2. Step 2: Convert to fraction form
    392.76/588.87 = 200.34/x
  3. Step 3: Cross multiply
    392.76x = 588.87 × 200.34
  4. Step 4: Simplify right side
    392.76x = 117,974.22
  5. Step 5: Solve for x
    x = 117,974.22/392.76
  6. Step 6: Final answer
    x = 300.37

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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.