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Finding the Fourth Proportional to 537.47, 806.34 and 212.73

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Solution

The fourth proportional to 537.47, 806.34 and 212.73 is: 319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.47 : 806.34 = 212.73 : x
  2. Step 2: Convert to fraction form
    537.47/806.34 = 212.73/x
  3. Step 3: Cross multiply
    537.47x = 806.34 × 212.73
  4. Step 4: Simplify right side
    537.47x = 171,532.71
  5. Step 5: Solve for x
    x = 171,532.71/537.47
  6. Step 6: Final answer
    x = 319.15

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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.