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Finding the Fourth Proportional to 311.28, 466.11 and 246.15

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Solution

The fourth proportional to 311.28, 466.11 and 246.15 is: 368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.28 : 466.11 = 246.15 : x
  2. Step 2: Convert to fraction form
    311.28/466.11 = 246.15/x
  3. Step 3: Cross multiply
    311.28x = 466.11 × 246.15
  4. Step 4: Simplify right side
    311.28x = 114,732.98
  5. Step 5: Solve for x
    x = 114,732.98/311.28
  6. Step 6: Final answer
    x = 368.58

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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.