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Finding the Fourth Proportional to 311.78, 428.82 and 274.82

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Solution

The fourth proportional to 311.78, 428.82 and 274.82 is: 377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.78 : 428.82 = 274.82 : x
  2. Step 2: Convert to fraction form
    311.78/428.82 = 274.82/x
  3. Step 3: Cross multiply
    311.78x = 428.82 × 274.82
  4. Step 4: Simplify right side
    311.78x = 117,848.31
  5. Step 5: Solve for x
    x = 117,848.31/311.78
  6. Step 6: Final answer
    x = 377.99

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