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Finding the Fourth Proportional to 978.96, 1,468.62 and 311.91

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Solution

The fourth proportional to 978.96, 1,468.62 and 311.91 is: 467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.96 : 1,468.62 = 311.91 : x
  2. Step 2: Convert to fraction form
    978.96/1,468.62 = 311.91/x
  3. Step 3: Cross multiply
    978.96x = 1,468.62 × 311.91
  4. Step 4: Simplify right side
    978.96x = 458,077.26
  5. Step 5: Solve for x
    x = 458,077.26/978.96
  6. Step 6: Final answer
    x = 467.92

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