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Finding the Fourth Proportional to 311.57, 466.59 and 219.83

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Solution

The fourth proportional to 311.57, 466.59 and 219.83 is: 329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.57 : 466.59 = 219.83 : x
  2. Step 2: Convert to fraction form
    311.57/466.59 = 219.83/x
  3. Step 3: Cross multiply
    311.57x = 466.59 × 219.83
  4. Step 4: Simplify right side
    311.57x = 102,571.23
  5. Step 5: Solve for x
    x = 102,571.23/311.57
  6. Step 6: Final answer
    x = 329.21

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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.