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Finding the Fourth Proportional to 537.32, 806.00 and 212.92

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Solution

The fourth proportional to 537.32, 806.00 and 212.92 is: 319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.32 : 806.00 = 212.92 : x
  2. Step 2: Convert to fraction form
    537.32/806.00 = 212.92/x
  3. Step 3: Cross multiply
    537.32x = 806.00 × 212.92
  4. Step 4: Simplify right side
    537.32x = 171,610.44
  5. Step 5: Solve for x
    x = 171,610.44/537.32
  6. Step 6: Final answer
    x = 319.38

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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.