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Finding the Fourth Proportional to 338.54, 508.07 and 208.69

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Solution

The fourth proportional to 338.54, 508.07 and 208.69 is: 313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.54 : 508.07 = 208.69 : x
  2. Step 2: Convert to fraction form
    338.54/508.07 = 208.69/x
  3. Step 3: Cross multiply
    338.54x = 508.07 × 208.69
  4. Step 4: Simplify right side
    338.54x = 106,029.13
  5. Step 5: Solve for x
    x = 106,029.13/338.54
  6. Step 6: Final answer
    x = 313.20

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