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Finding the Fourth Proportional to 978.96, 1,467.12 and 401.52

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Solution

The fourth proportional to 978.96, 1,467.12 and 401.52 is: 601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.96 : 1,467.12 = 401.52 : x
  2. Step 2: Convert to fraction form
    978.96/1,467.12 = 401.52/x
  3. Step 3: Cross multiply
    978.96x = 1,467.12 × 401.52
  4. Step 4: Simplify right side
    978.96x = 589,078.02
  5. Step 5: Solve for x
    x = 589,078.02/978.96
  6. Step 6: Final answer
    x = 601.74

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