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Finding the Fourth Proportional to 778.08, 1,167.12 and 315.84

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Solution

The fourth proportional to 778.08, 1,167.12 and 315.84 is: 473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.08 : 1,167.12 = 315.84 : x
  2. Step 2: Convert to fraction form
    778.08/1,167.12 = 315.84/x
  3. Step 3: Cross multiply
    778.08x = 1,167.12 × 315.84
  4. Step 4: Simplify right side
    778.08x = 368,623.18
  5. Step 5: Solve for x
    x = 368,623.18/778.08
  6. Step 6: Final answer
    x = 473.76

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