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Finding the Fourth Proportional to 522.57, 784.16 and 197.96

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Solution

The fourth proportional to 522.57, 784.16 and 197.96 is: 297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.57 : 784.16 = 197.96 : x
  2. Step 2: Convert to fraction form
    522.57/784.16 = 197.96/x
  3. Step 3: Cross multiply
    522.57x = 784.16 × 197.96
  4. Step 4: Simplify right side
    522.57x = 155,236.24
  5. Step 5: Solve for x
    x = 155,236.24/522.57
  6. Step 6: Final answer
    x = 297.06

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