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Finding the Fourth Proportional to 646.26, 969.64 and 256.46

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Solution

The fourth proportional to 646.26, 969.64 and 256.46 is: 384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.26 : 969.64 = 256.46 : x
  2. Step 2: Convert to fraction form
    646.26/969.64 = 256.46/x
  3. Step 3: Cross multiply
    646.26x = 969.64 × 256.46
  4. Step 4: Simplify right side
    646.26x = 248,673.87
  5. Step 5: Solve for x
    x = 248,673.87/646.26
  6. Step 6: Final answer
    x = 384.79

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