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Finding the Fourth Proportional to 537.84, 806.88 and 321.12

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Solution

The fourth proportional to 537.84, 806.88 and 321.12 is: 481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.84 : 806.88 = 321.12 : x
  2. Step 2: Convert to fraction form
    537.84/806.88 = 321.12/x
  3. Step 3: Cross multiply
    537.84x = 806.88 × 321.12
  4. Step 4: Simplify right side
    537.84x = 259,105.31
  5. Step 5: Solve for x
    x = 259,105.31/537.84
  6. Step 6: Final answer
    x = 481.75

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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.