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Finding the Fourth Proportional to 311.64, 428.94 and 274.56

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Solution

The fourth proportional to 311.64, 428.94 and 274.56 is: 377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.64 : 428.94 = 274.56 : x
  2. Step 2: Convert to fraction form
    311.64/428.94 = 274.56/x
  3. Step 3: Cross multiply
    311.64x = 428.94 × 274.56
  4. Step 4: Simplify right side
    311.64x = 117,769.77
  5. Step 5: Solve for x
    x = 117,769.77/311.64
  6. Step 6: Final answer
    x = 377.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.