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Finding the Fourth Proportional to 646.22, 969.71 and 256.26

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Solution

The fourth proportional to 646.22, 969.71 and 256.26 is: 384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.22 : 969.71 = 256.26 : x
  2. Step 2: Convert to fraction form
    646.22/969.71 = 256.26/x
  3. Step 3: Cross multiply
    646.22x = 969.71 × 256.26
  4. Step 4: Simplify right side
    646.22x = 248,491.75
  5. Step 5: Solve for x
    x = 248,491.75/646.22
  6. Step 6: Final answer
    x = 384.53

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