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Finding the Fourth Proportional to 277.74, 414 and 260.28

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Solution

The fourth proportional to 277.74, 414 and 260.28 is: 387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.74 : 414 = 260.28 : x
  2. Step 2: Convert to fraction form
    277.74/414 = 260.28/x
  3. Step 3: Cross multiply
    277.74x = 414 × 260.28
  4. Step 4: Simplify right side
    277.74x = 107,755.92
  5. Step 5: Solve for x
    x = 107,755.92/277.74
  6. Step 6: Final answer
    x = 387.97

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