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Finding the Fourth Proportional to 394.16, 590.88 and 201.60

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Solution

The fourth proportional to 394.16, 590.88 and 201.60 is: 302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.16 : 590.88 = 201.60 : x
  2. Step 2: Convert to fraction form
    394.16/590.88 = 201.60/x
  3. Step 3: Cross multiply
    394.16x = 590.88 × 201.60
  4. Step 4: Simplify right side
    394.16x = 119,121.41
  5. Step 5: Solve for x
    x = 119,121.41/394.16
  6. Step 6: Final answer
    x = 302.22

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