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Finding the Fourth Proportional to 322.73, 483.61 and 276.20

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Solution

The fourth proportional to 322.73, 483.61 and 276.20 is: 413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.73 : 483.61 = 276.20 : x
  2. Step 2: Convert to fraction form
    322.73/483.61 = 276.20/x
  3. Step 3: Cross multiply
    322.73x = 483.61 × 276.20
  4. Step 4: Simplify right side
    322.73x = 133,571.70
  5. Step 5: Solve for x
    x = 133,571.70/322.73
  6. Step 6: Final answer
    x = 413.89

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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.