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Finding the Fourth Proportional to 276.94, 412.97 and 270.73

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Solution

The fourth proportional to 276.94, 412.97 and 270.73 is: 403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.94 : 412.97 = 270.73 : x
  2. Step 2: Convert to fraction form
    276.94/412.97 = 270.73/x
  3. Step 3: Cross multiply
    276.94x = 412.97 × 270.73
  4. Step 4: Simplify right side
    276.94x = 111,803.37
  5. Step 5: Solve for x
    x = 111,803.37/276.94
  6. Step 6: Final answer
    x = 403.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.