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Finding the Fourth Proportional to 539.82, 808.67 and 257.99

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Solution

The fourth proportional to 539.82, 808.67 and 257.99 is: 386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.82 : 808.67 = 257.99 : x
  2. Step 2: Convert to fraction form
    539.82/808.67 = 257.99/x
  3. Step 3: Cross multiply
    539.82x = 808.67 × 257.99
  4. Step 4: Simplify right side
    539.82x = 208,625.37
  5. Step 5: Solve for x
    x = 208,625.37/539.82
  6. Step 6: Final answer
    x = 386.47

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