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Finding the Fourth Proportional to 978.41, 1,467.86 and 285.14

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Solution

The fourth proportional to 978.41, 1,467.86 and 285.14 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.41 : 1,467.86 = 285.14 : x
  2. Step 2: Convert to fraction form
    978.41/1,467.86 = 285.14/x
  3. Step 3: Cross multiply
    978.41x = 1,467.86 × 285.14
  4. Step 4: Simplify right side
    978.41x = 418,538.97
  5. Step 5: Solve for x
    x = 418,538.97/978.41
  6. Step 6: Final answer
    x = 427.78

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