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Finding the Fourth Proportional to 397.84, 596.62 and 192.64

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Solution

The fourth proportional to 397.84, 596.62 and 192.64 is: 288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.84 : 596.62 = 192.64 : x
  2. Step 2: Convert to fraction form
    397.84/596.62 = 192.64/x
  3. Step 3: Cross multiply
    397.84x = 596.62 × 192.64
  4. Step 4: Simplify right side
    397.84x = 114,932.88
  5. Step 5: Solve for x
    x = 114,932.88/397.84
  6. Step 6: Final answer
    x = 288.89

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