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Finding the Fourth Proportional to 387.18, 580.57 and 204.42

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Solution

The fourth proportional to 387.18, 580.57 and 204.42 is: 306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.18 : 580.57 = 204.42 : x
  2. Step 2: Convert to fraction form
    387.18/580.57 = 204.42/x
  3. Step 3: Cross multiply
    387.18x = 580.57 × 204.42
  4. Step 4: Simplify right side
    387.18x = 118,681.79
  5. Step 5: Solve for x
    x = 118,681.79/387.18
  6. Step 6: Final answer
    x = 306.53

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