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Finding the Fourth Proportional to 502, 692.80 and 280.99

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Solution

The fourth proportional to 502, 692.80 and 280.99 is: 387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502 : 692.80 = 280.99 : x
  2. Step 2: Convert to fraction form
    502/692.80 = 280.99/x
  3. Step 3: Cross multiply
    502x = 692.80 × 280.99
  4. Step 4: Simplify right side
    502x = 194,669.87
  5. Step 5: Solve for x
    x = 194,669.87/502
  6. Step 6: Final answer
    x = 387.79

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