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Finding the Fourth Proportional to 311.05, 466.05 and 219.30

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Solution

The fourth proportional to 311.05, 466.05 and 219.30 is: 328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.05 : 466.05 = 219.30 : x
  2. Step 2: Convert to fraction form
    311.05/466.05 = 219.30/x
  3. Step 3: Cross multiply
    311.05x = 466.05 × 219.30
  4. Step 4: Simplify right side
    311.05x = 102,204.77
  5. Step 5: Solve for x
    x = 102,204.77/311.05
  6. Step 6: Final answer
    x = 328.58

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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.