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Finding the Fourth Proportional to 646.18, 969.07 and 256.29

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Solution

The fourth proportional to 646.18, 969.07 and 256.29 is: 384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.18 : 969.07 = 256.29 : x
  2. Step 2: Convert to fraction form
    646.18/969.07 = 256.29/x
  3. Step 3: Cross multiply
    646.18x = 969.07 × 256.29
  4. Step 4: Simplify right side
    646.18x = 248,359.16
  5. Step 5: Solve for x
    x = 248,359.16/646.18
  6. Step 6: Final answer
    x = 384.35

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