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Finding the Fourth Proportional to 382.24, 572.88 and 189.60

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Solution

The fourth proportional to 382.24, 572.88 and 189.60 is: 284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.24 : 572.88 = 189.60 : x
  2. Step 2: Convert to fraction form
    382.24/572.88 = 189.60/x
  3. Step 3: Cross multiply
    382.24x = 572.88 × 189.60
  4. Step 4: Simplify right side
    382.24x = 108,618.05
  5. Step 5: Solve for x
    x = 108,618.05/382.24
  6. Step 6: Final answer
    x = 284.16

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