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Finding the Fourth Proportional to 584.59, 876.99 and 199.75

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Solution

The fourth proportional to 584.59, 876.99 and 199.75 is: 299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.59 : 876.99 = 199.75 : x
  2. Step 2: Convert to fraction form
    584.59/876.99 = 199.75/x
  3. Step 3: Cross multiply
    584.59x = 876.99 × 199.75
  4. Step 4: Simplify right side
    584.59x = 175,178.75
  5. Step 5: Solve for x
    x = 175,178.75/584.59
  6. Step 6: Final answer
    x = 299.66

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