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Finding the Fourth Proportional to 646.96, 969.80 and 256.83

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Solution

The fourth proportional to 646.96, 969.80 and 256.83 is: 384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.96 : 969.80 = 256.83 : x
  2. Step 2: Convert to fraction form
    646.96/969.80 = 256.83/x
  3. Step 3: Cross multiply
    646.96x = 969.80 × 256.83
  4. Step 4: Simplify right side
    646.96x = 249,071.98
  5. Step 5: Solve for x
    x = 249,071.98/646.96
  6. Step 6: Final answer
    x = 384.99

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