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Finding the Fourth Proportional to 978.67, 1,468.23 and 285.39

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Solution

The fourth proportional to 978.67, 1,468.23 and 285.39 is: 428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.67 : 1,468.23 = 285.39 : x
  2. Step 2: Convert to fraction form
    978.67/1,468.23 = 285.39/x
  3. Step 3: Cross multiply
    978.67x = 1,468.23 × 285.39
  4. Step 4: Simplify right side
    978.67x = 419,016.73
  5. Step 5: Solve for x
    x = 419,016.73/978.67
  6. Step 6: Final answer
    x = 428.15

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