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Finding the Fourth Proportional to 391.34, 586.92 and 206.12

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Solution

The fourth proportional to 391.34, 586.92 and 206.12 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.34 : 586.92 = 206.12 : x
  2. Step 2: Convert to fraction form
    391.34/586.92 = 206.12/x
  3. Step 3: Cross multiply
    391.34x = 586.92 × 206.12
  4. Step 4: Simplify right side
    391.34x = 120,975.95
  5. Step 5: Solve for x
    x = 120,975.95/391.34
  6. Step 6: Final answer
    x = 309.13

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