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Finding the Fourth Proportional to 365.78, 548.37 and 257.65

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Solution

The fourth proportional to 365.78, 548.37 and 257.65 is: 386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.78 : 548.37 = 257.65 : x
  2. Step 2: Convert to fraction form
    365.78/548.37 = 257.65/x
  3. Step 3: Cross multiply
    365.78x = 548.37 × 257.65
  4. Step 4: Simplify right side
    365.78x = 141,286.16
  5. Step 5: Solve for x
    x = 141,286.16/365.78
  6. Step 6: Final answer
    x = 386.26

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