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Finding the Fourth Proportional to 386.70, 580.26 and 213.44

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Solution

The fourth proportional to 386.70, 580.26 and 213.44 is: 320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.70 : 580.26 = 213.44 : x
  2. Step 2: Convert to fraction form
    386.70/580.26 = 213.44/x
  3. Step 3: Cross multiply
    386.70x = 580.26 × 213.44
  4. Step 4: Simplify right side
    386.70x = 123,850.69
  5. Step 5: Solve for x
    x = 123,850.69/386.70
  6. Step 6: Final answer
    x = 320.28

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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.