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Finding the Fourth Proportional to 387.94, 534.91 and 282.84

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Solution

The fourth proportional to 387.94, 534.91 and 282.84 is: 389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.94 : 534.91 = 282.84 : x
  2. Step 2: Convert to fraction form
    387.94/534.91 = 282.84/x
  3. Step 3: Cross multiply
    387.94x = 534.91 × 282.84
  4. Step 4: Simplify right side
    387.94x = 151,291.27
  5. Step 5: Solve for x
    x = 151,291.27/387.94
  6. Step 6: Final answer
    x = 389.99

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