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Finding the Fourth Proportional to 523.18, 783.78 and 278.92

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Solution

The fourth proportional to 523.18, 783.78 and 278.92 is: 417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.18 : 783.78 = 278.92 : x
  2. Step 2: Convert to fraction form
    523.18/783.78 = 278.92/x
  3. Step 3: Cross multiply
    523.18x = 783.78 × 278.92
  4. Step 4: Simplify right side
    523.18x = 218,611.92
  5. Step 5: Solve for x
    x = 218,611.92/523.18
  6. Step 6: Final answer
    x = 417.85

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