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Finding the Fourth Proportional to 574.86, 862.26 and 209.64

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Solution

The fourth proportional to 574.86, 862.26 and 209.64 is: 314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.86 : 862.26 = 209.64 : x
  2. Step 2: Convert to fraction form
    574.86/862.26 = 209.64/x
  3. Step 3: Cross multiply
    574.86x = 862.26 × 209.64
  4. Step 4: Simplify right side
    574.86x = 180,764.19
  5. Step 5: Solve for x
    x = 180,764.19/574.86
  6. Step 6: Final answer
    x = 314.45

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