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Finding the Fourth Proportional to 537.49, 806.10 and 212.82

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Solution

The fourth proportional to 537.49, 806.10 and 212.82 is: 319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.49 : 806.10 = 212.82 : x
  2. Step 2: Convert to fraction form
    537.49/806.10 = 212.82/x
  3. Step 3: Cross multiply
    537.49x = 806.10 × 212.82
  4. Step 4: Simplify right side
    537.49x = 171,554.20
  5. Step 5: Solve for x
    x = 171,554.20/537.49
  6. Step 6: Final answer
    x = 319.18

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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.