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Finding the Fourth Proportional to 537.63, 806.44 and 213.22

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Solution

The fourth proportional to 537.63, 806.44 and 213.22 is: 319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.63 : 806.44 = 213.22 : x
  2. Step 2: Convert to fraction form
    537.63/806.44 = 213.22/x
  3. Step 3: Cross multiply
    537.63x = 806.44 × 213.22
  4. Step 4: Simplify right side
    537.63x = 171,949.14
  5. Step 5: Solve for x
    x = 171,949.14/537.63
  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.