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Finding the Fourth Proportional to 584.78, 876.62 and 199.76

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Solution

The fourth proportional to 584.78, 876.62 and 199.76 is: 299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.78 : 876.62 = 199.76 : x
  2. Step 2: Convert to fraction form
    584.78/876.62 = 199.76/x
  3. Step 3: Cross multiply
    584.78x = 876.62 × 199.76
  4. Step 4: Simplify right side
    584.78x = 175,113.61
  5. Step 5: Solve for x
    x = 175,113.61/584.78
  6. Step 6: Final answer
    x = 299.45

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