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Finding the Fourth Proportional to 537.75, 806.94 and 213.09

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Solution

The fourth proportional to 537.75, 806.94 and 213.09 is: 319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.75 : 806.94 = 213.09 : x
  2. Step 2: Convert to fraction form
    537.75/806.94 = 213.09/x
  3. Step 3: Cross multiply
    537.75x = 806.94 × 213.09
  4. Step 4: Simplify right side
    537.75x = 171,950.84
  5. Step 5: Solve for x
    x = 171,950.84/537.75
  6. Step 6: Final answer
    x = 319.76

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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.