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Finding the Fourth Proportional to 640.72, 961.14 and 256

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Solution

The fourth proportional to 640.72, 961.14 and 256 is: 384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.72 : 961.14 = 256 : x
  2. Step 2: Convert to fraction form
    640.72/961.14 = 256/x
  3. Step 3: Cross multiply
    640.72x = 961.14 × 256
  4. Step 4: Simplify right side
    640.72x = 246,051.84
  5. Step 5: Solve for x
    x = 246,051.84/640.72
  6. Step 6: Final answer
    x = 384.02

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