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Finding the Fourth Proportional to 896.37, 1,344.60 and 311.12

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Solution

The fourth proportional to 896.37, 1,344.60 and 311.12 is: 466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.37 : 1,344.60 = 311.12 : x
  2. Step 2: Convert to fraction form
    896.37/1,344.60 = 311.12/x
  3. Step 3: Cross multiply
    896.37x = 1,344.60 × 311.12
  4. Step 4: Simplify right side
    896.37x = 418,325.61
  5. Step 5: Solve for x
    x = 418,325.61/896.37
  6. Step 6: Final answer
    x = 466.69

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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.