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Finding the Fourth Proportional to 537.80, 806.51 and 213.14

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Solution

The fourth proportional to 537.80, 806.51 and 213.14 is: 319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 806.51 = 213.14 : x
  2. Step 2: Convert to fraction form
    537.80/806.51 = 213.14/x
  3. Step 3: Cross multiply
    537.80x = 806.51 × 213.14
  4. Step 4: Simplify right side
    537.80x = 171,899.54
  5. Step 5: Solve for x
    x = 171,899.54/537.80
  6. Step 6: Final answer
    x = 319.63

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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.