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Finding the Fourth Proportional to 338.72, 506.86 and 265.82

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Solution

The fourth proportional to 338.72, 506.86 and 265.82 is: 397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.72 : 506.86 = 265.82 : x
  2. Step 2: Convert to fraction form
    338.72/506.86 = 265.82/x
  3. Step 3: Cross multiply
    338.72x = 506.86 × 265.82
  4. Step 4: Simplify right side
    338.72x = 134,733.53
  5. Step 5: Solve for x
    x = 134,733.53/338.72
  6. Step 6: Final answer
    x = 397.77

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