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Finding the Fourth Proportional to 311.28, 466.40 and 219.53

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Solution

The fourth proportional to 311.28, 466.40 and 219.53 is: 328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.28 : 466.40 = 219.53 : x
  2. Step 2: Convert to fraction form
    311.28/466.40 = 219.53/x
  3. Step 3: Cross multiply
    311.28x = 466.40 × 219.53
  4. Step 4: Simplify right side
    311.28x = 102,385.36
  5. Step 5: Solve for x
    x = 102,385.36/311.28
  6. Step 6: Final answer
    x = 328.92

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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.