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Finding the Fourth Proportional to 314.08, 471.12 and 206.55

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Solution

The fourth proportional to 314.08, 471.12 and 206.55 is: 309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.08 : 471.12 = 206.55 : x
  2. Step 2: Convert to fraction form
    314.08/471.12 = 206.55/x
  3. Step 3: Cross multiply
    314.08x = 471.12 × 206.55
  4. Step 4: Simplify right side
    314.08x = 97,309.06
  5. Step 5: Solve for x
    x = 97,309.06/314.08
  6. Step 6: Final answer
    x = 309.83

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