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Finding the Fourth Proportional to 411.88, 617.20 and 216.80

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Solution

The fourth proportional to 411.88, 617.20 and 216.80 is: 324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.88 : 617.20 = 216.80 : x
  2. Step 2: Convert to fraction form
    411.88/617.20 = 216.80/x
  3. Step 3: Cross multiply
    411.88x = 617.20 × 216.80
  4. Step 4: Simplify right side
    411.88x = 133,808.96
  5. Step 5: Solve for x
    x = 133,808.96/411.88
  6. Step 6: Final answer
    x = 324.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.