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Finding the Fourth Proportional to 312.93, 470.07 and 282.69

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Solution

The fourth proportional to 312.93, 470.07 and 282.69 is: 424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.93 : 470.07 = 282.69 : x
  2. Step 2: Convert to fraction form
    312.93/470.07 = 282.69/x
  3. Step 3: Cross multiply
    312.93x = 470.07 × 282.69
  4. Step 4: Simplify right side
    312.93x = 132,884.09
  5. Step 5: Solve for x
    x = 132,884.09/312.93
  6. Step 6: Final answer
    x = 424.64

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