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Finding the Fourth Proportional to 311.10, 466.13 and 219.64

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Solution

The fourth proportional to 311.10, 466.13 and 219.64 is: 329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.10 : 466.13 = 219.64 : x
  2. Step 2: Convert to fraction form
    311.10/466.13 = 219.64/x
  3. Step 3: Cross multiply
    311.10x = 466.13 × 219.64
  4. Step 4: Simplify right side
    311.10x = 102,380.18
  5. Step 5: Solve for x
    x = 102,380.18/311.10
  6. Step 6: Final answer
    x = 329.09

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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.