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Finding the Fourth Proportional to 311.43, 467.34 and 286.62

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Solution

The fourth proportional to 311.43, 467.34 and 286.62 is: 430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.43 : 467.34 = 286.62 : x
  2. Step 2: Convert to fraction form
    311.43/467.34 = 286.62/x
  3. Step 3: Cross multiply
    311.43x = 467.34 × 286.62
  4. Step 4: Simplify right side
    311.43x = 133,948.99
  5. Step 5: Solve for x
    x = 133,948.99/311.43
  6. Step 6: Final answer
    x = 430.11

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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.