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Finding the Fourth Proportional to 276.82, 416.16 and 261.94

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Solution

The fourth proportional to 276.82, 416.16 and 261.94 is: 393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.82 : 416.16 = 261.94 : x
  2. Step 2: Convert to fraction form
    276.82/416.16 = 261.94/x
  3. Step 3: Cross multiply
    276.82x = 416.16 × 261.94
  4. Step 4: Simplify right side
    276.82x = 109,008.95
  5. Step 5: Solve for x
    x = 109,008.95/276.82
  6. Step 6: Final answer
    x = 393.79

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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.