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Finding the Fourth Proportional to 397.52, 596.76 and 205.04

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Solution

The fourth proportional to 397.52, 596.76 and 205.04 is: 307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.52 : 596.76 = 205.04 : x
  2. Step 2: Convert to fraction form
    397.52/596.76 = 205.04/x
  3. Step 3: Cross multiply
    397.52x = 596.76 × 205.04
  4. Step 4: Simplify right side
    397.52x = 122,359.67
  5. Step 5: Solve for x
    x = 122,359.67/397.52
  6. Step 6: Final answer
    x = 307.81

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