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Finding the Fourth Proportional to 896.55, 1,344.76 and 311.41

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Solution

The fourth proportional to 896.55, 1,344.76 and 311.41 is: 467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.55 : 1,344.76 = 311.41 : x
  2. Step 2: Convert to fraction form
    896.55/1,344.76 = 311.41/x
  3. Step 3: Cross multiply
    896.55x = 1,344.76 × 311.41
  4. Step 4: Simplify right side
    896.55x = 418,763.43
  5. Step 5: Solve for x
    x = 418,763.43/896.55
  6. Step 6: Final answer
    x = 467.09

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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.