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Finding the Fourth Proportional to 284.82, 427.34 and 206.81

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Solution

The fourth proportional to 284.82, 427.34 and 206.81 is: 310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.82 : 427.34 = 206.81 : x
  2. Step 2: Convert to fraction form
    284.82/427.34 = 206.81/x
  3. Step 3: Cross multiply
    284.82x = 427.34 × 206.81
  4. Step 4: Simplify right side
    284.82x = 88,378.19
  5. Step 5: Solve for x
    x = 88,378.19/284.82
  6. Step 6: Final answer
    x = 310.29

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