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Finding the Fourth Proportional to 506.80, 698.94 and 367.84

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Solution

The fourth proportional to 506.80, 698.94 and 367.84 is: 507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.80 : 698.94 = 367.84 : x
  2. Step 2: Convert to fraction form
    506.80/698.94 = 367.84/x
  3. Step 3: Cross multiply
    506.80x = 698.94 × 367.84
  4. Step 4: Simplify right side
    506.80x = 257,098.09
  5. Step 5: Solve for x
    x = 257,098.09/506.80
  6. Step 6: Final answer
    x = 507.30

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