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Finding the Fourth Proportional to 538.22, 806.73 and 213.38

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Solution

The fourth proportional to 538.22, 806.73 and 213.38 is: 319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.22 : 806.73 = 213.38 : x
  2. Step 2: Convert to fraction form
    538.22/806.73 = 213.38/x
  3. Step 3: Cross multiply
    538.22x = 806.73 × 213.38
  4. Step 4: Simplify right side
    538.22x = 172,140.05
  5. Step 5: Solve for x
    x = 172,140.05/538.22
  6. Step 6: Final answer
    x = 319.83

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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.