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Finding the Fourth Proportional to 304.48, 419.94 and 206.08

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Solution

The fourth proportional to 304.48, 419.94 and 206.08 is: 284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.48 : 419.94 = 206.08 : x
  2. Step 2: Convert to fraction form
    304.48/419.94 = 206.08/x
  3. Step 3: Cross multiply
    304.48x = 419.94 × 206.08
  4. Step 4: Simplify right side
    304.48x = 86,541.24
  5. Step 5: Solve for x
    x = 86,541.24/304.48
  6. Step 6: Final answer
    x = 284.23

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