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Finding the Fourth Proportional to 380.23, 524.97 and 269.82

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Solution

The fourth proportional to 380.23, 524.97 and 269.82 is: 372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.23 : 524.97 = 269.82 : x
  2. Step 2: Convert to fraction form
    380.23/524.97 = 269.82/x
  3. Step 3: Cross multiply
    380.23x = 524.97 × 269.82
  4. Step 4: Simplify right side
    380.23x = 141,647.41
  5. Step 5: Solve for x
    x = 141,647.41/380.23
  6. Step 6: Final answer
    x = 372.53

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