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Finding the Fourth Proportional to 494.23, 740.94 and 277.78

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Solution

The fourth proportional to 494.23, 740.94 and 277.78 is: 416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.23 : 740.94 = 277.78 : x
  2. Step 2: Convert to fraction form
    494.23/740.94 = 277.78/x
  3. Step 3: Cross multiply
    494.23x = 740.94 × 277.78
  4. Step 4: Simplify right side
    494.23x = 205,818.31
  5. Step 5: Solve for x
    x = 205,818.31/494.23
  6. Step 6: Final answer
    x = 416.44

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