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Finding the Fourth Proportional to 652.08, 978.40 and 286.78

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Solution

The fourth proportional to 652.08, 978.40 and 286.78 is: 430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.08 : 978.40 = 286.78 : x
  2. Step 2: Convert to fraction form
    652.08/978.40 = 286.78/x
  3. Step 3: Cross multiply
    652.08x = 978.40 × 286.78
  4. Step 4: Simplify right side
    652.08x = 280,585.55
  5. Step 5: Solve for x
    x = 280,585.55/652.08
  6. Step 6: Final answer
    x = 430.29

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