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Finding the Fourth Proportional to 964.92, 1,447.24 and 315.68

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Solution

The fourth proportional to 964.92, 1,447.24 and 315.68 is: 473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.92 : 1,447.24 = 315.68 : x
  2. Step 2: Convert to fraction form
    964.92/1,447.24 = 315.68/x
  3. Step 3: Cross multiply
    964.92x = 1,447.24 × 315.68
  4. Step 4: Simplify right side
    964.92x = 456,864.72
  5. Step 5: Solve for x
    x = 456,864.72/964.92
  6. Step 6: Final answer
    x = 473.47

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