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Finding the Fourth Proportional to 456.90, 684.12 and 240.04

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Solution

The fourth proportional to 456.90, 684.12 and 240.04 is: 359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.90 : 684.12 = 240.04 : x
  2. Step 2: Convert to fraction form
    456.90/684.12 = 240.04/x
  3. Step 3: Cross multiply
    456.90x = 684.12 × 240.04
  4. Step 4: Simplify right side
    456.90x = 164,216.16
  5. Step 5: Solve for x
    x = 164,216.16/456.90
  6. Step 6: Final answer
    x = 359.41

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