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Finding the Fourth Proportional to 537.62, 806.81 and 213.05

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Solution

The fourth proportional to 537.62, 806.81 and 213.05 is: 319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.62 : 806.81 = 213.05 : x
  2. Step 2: Convert to fraction form
    537.62/806.81 = 213.05/x
  3. Step 3: Cross multiply
    537.62x = 806.81 × 213.05
  4. Step 4: Simplify right side
    537.62x = 171,891.82
  5. Step 5: Solve for x
    x = 171,891.82/537.62
  6. Step 6: Final answer
    x = 319.73

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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.