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Finding the Fourth Proportional to 678.82, 1,018.16 and 240

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Solution

The fourth proportional to 678.82, 1,018.16 and 240 is: 359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.82 : 1,018.16 = 240 : x
  2. Step 2: Convert to fraction form
    678.82/1,018.16 = 240/x
  3. Step 3: Cross multiply
    678.82x = 1,018.16 × 240
  4. Step 4: Simplify right side
    678.82x = 244,358.40
  5. Step 5: Solve for x
    x = 244,358.40/678.82
  6. Step 6: Final answer
    x = 359.98

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