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Finding the Fourth Proportional to 398.21, 596.64 and 282.08

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Solution

The fourth proportional to 398.21, 596.64 and 282.08 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.21 : 596.64 = 282.08 : x
  2. Step 2: Convert to fraction form
    398.21/596.64 = 282.08/x
  3. Step 3: Cross multiply
    398.21x = 596.64 × 282.08
  4. Step 4: Simplify right side
    398.21x = 168,297.23
  5. Step 5: Solve for x
    x = 168,297.23/398.21
  6. Step 6: Final answer
    x = 422.64

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