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Finding the Fourth Proportional to 311.36, 465.87 and 220.28

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Solution

The fourth proportional to 311.36, 465.87 and 220.28 is: 329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.36 : 465.87 = 220.28 : x
  2. Step 2: Convert to fraction form
    311.36/465.87 = 220.28/x
  3. Step 3: Cross multiply
    311.36x = 465.87 × 220.28
  4. Step 4: Simplify right side
    311.36x = 102,621.84
  5. Step 5: Solve for x
    x = 102,621.84/311.36
  6. Step 6: Final answer
    x = 329.59

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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.