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Finding the Fourth Proportional to 652.10, 978.30 and 189.89

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Solution

The fourth proportional to 652.10, 978.30 and 189.89 is: 284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.10 : 978.30 = 189.89 : x
  2. Step 2: Convert to fraction form
    652.10/978.30 = 189.89/x
  3. Step 3: Cross multiply
    652.10x = 978.30 × 189.89
  4. Step 4: Simplify right side
    652.10x = 185,763.78
  5. Step 5: Solve for x
    x = 185,763.78/652.10
  6. Step 6: Final answer
    x = 284.87

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