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Finding the Fourth Proportional to 276.96, 383.84 and 272.80

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Solution

The fourth proportional to 276.96, 383.84 and 272.80 is: 378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.96 : 383.84 = 272.80 : x
  2. Step 2: Convert to fraction form
    276.96/383.84 = 272.80/x
  3. Step 3: Cross multiply
    276.96x = 383.84 × 272.80
  4. Step 4: Simplify right side
    276.96x = 104,711.55
  5. Step 5: Solve for x
    x = 104,711.55/276.96
  6. Step 6: Final answer
    x = 378.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.