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Finding the Fourth Proportional to 522.06, 783.09 and 197.43

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Solution

The fourth proportional to 522.06, 783.09 and 197.43 is: 296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.06 : 783.09 = 197.43 : x
  2. Step 2: Convert to fraction form
    522.06/783.09 = 197.43/x
  3. Step 3: Cross multiply
    522.06x = 783.09 × 197.43
  4. Step 4: Simplify right side
    522.06x = 154,605.46
  5. Step 5: Solve for x
    x = 154,605.46/522.06
  6. Step 6: Final answer
    x = 296.15

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