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Finding the Fourth Proportional to 311.28, 464.57 and 286.86

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Solution

The fourth proportional to 311.28, 464.57 and 286.86 is: 428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.28 : 464.57 = 286.86 : x
  2. Step 2: Convert to fraction form
    311.28/464.57 = 286.86/x
  3. Step 3: Cross multiply
    311.28x = 464.57 × 286.86
  4. Step 4: Simplify right side
    311.28x = 133,266.55
  5. Step 5: Solve for x
    x = 133,266.55/311.28
  6. Step 6: Final answer
    x = 428.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.