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Finding the Fourth Proportional to 500, 689.88 and 278.84

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Solution

The fourth proportional to 500, 689.88 and 278.84 is: 384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 689.88 = 278.84 : x
  2. Step 2: Convert to fraction form
    500/689.88 = 278.84/x
  3. Step 3: Cross multiply
    500x = 689.88 × 278.84
  4. Step 4: Simplify right side
    500x = 192,366.14
  5. Step 5: Solve for x
    x = 192,366.14/500
  6. Step 6: Final answer
    x = 384.73

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