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Finding the Fourth Proportional to 584.47, 876.61 and 259.78

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Solution

The fourth proportional to 584.47, 876.61 and 259.78 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.47 : 876.61 = 259.78 : x
  2. Step 2: Convert to fraction form
    584.47/876.61 = 259.78/x
  3. Step 3: Cross multiply
    584.47x = 876.61 × 259.78
  4. Step 4: Simplify right side
    584.47x = 227,725.75
  5. Step 5: Solve for x
    x = 227,725.75/584.47
  6. Step 6: Final answer
    x = 389.63

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