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Finding the Fourth Proportional to 456.44, 684.09 and 261.60

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Solution

The fourth proportional to 456.44, 684.09 and 261.60 is: 392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.44 : 684.09 = 261.60 : x
  2. Step 2: Convert to fraction form
    456.44/684.09 = 261.60/x
  3. Step 3: Cross multiply
    456.44x = 684.09 × 261.60
  4. Step 4: Simplify right side
    456.44x = 178,956.64
  5. Step 5: Solve for x
    x = 178,956.64/456.44
  6. Step 6: Final answer
    x = 392.07

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