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Finding the Fourth Proportional to 278.78, 383.96 and 261.77

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Solution

The fourth proportional to 278.78, 383.96 and 261.77 is: 360.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.78 : 383.96 = 261.77 : x
  2. Step 2: Convert to fraction form
    278.78/383.96 = 261.77/x
  3. Step 3: Cross multiply
    278.78x = 383.96 × 261.77
  4. Step 4: Simplify right side
    278.78x = 100,507.90
  5. Step 5: Solve for x
    x = 100,507.90/278.78
  6. Step 6: Final answer
    x = 360.53

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