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Finding the Fourth Proportional to 401.84, 602.16 and 280.04

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Solution

The fourth proportional to 401.84, 602.16 and 280.04 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.84 : 602.16 = 280.04 : x
  2. Step 2: Convert to fraction form
    401.84/602.16 = 280.04/x
  3. Step 3: Cross multiply
    401.84x = 602.16 × 280.04
  4. Step 4: Simplify right side
    401.84x = 168,628.89
  5. Step 5: Solve for x
    x = 168,628.89/401.84
  6. Step 6: Final answer
    x = 419.64

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