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Finding the Fourth Proportional to 896.69, 1,344.41 and 311.56

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Solution

The fourth proportional to 896.69, 1,344.41 and 311.56 is: 467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.69 : 1,344.41 = 311.56 : x
  2. Step 2: Convert to fraction form
    896.69/1,344.41 = 311.56/x
  3. Step 3: Cross multiply
    896.69x = 1,344.41 × 311.56
  4. Step 4: Simplify right side
    896.69x = 418,856.10
  5. Step 5: Solve for x
    x = 418,856.10/896.69
  6. Step 6: Final answer
    x = 467.11

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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.