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Finding the Fourth Proportional to 646.24, 969.36 and 261.76

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Solution

The fourth proportional to 646.24, 969.36 and 261.76 is: 392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.24 : 969.36 = 261.76 : x
  2. Step 2: Convert to fraction form
    646.24/969.36 = 261.76/x
  3. Step 3: Cross multiply
    646.24x = 969.36 × 261.76
  4. Step 4: Simplify right side
    646.24x = 253,739.67
  5. Step 5: Solve for x
    x = 253,739.67/646.24
  6. Step 6: Final answer
    x = 392.64

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