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Finding the Fourth Proportional to 386.43, 580.01 and 213.29

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Solution

The fourth proportional to 386.43, 580.01 and 213.29 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.43 : 580.01 = 213.29 : x
  2. Step 2: Convert to fraction form
    386.43/580.01 = 213.29/x
  3. Step 3: Cross multiply
    386.43x = 580.01 × 213.29
  4. Step 4: Simplify right side
    386.43x = 123,710.15
  5. Step 5: Solve for x
    x = 123,710.15/386.43
  6. Step 6: Final answer
    x = 320.14

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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.