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Finding the Fourth Proportional to 584.63, 876.93 and 173.78

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Solution

The fourth proportional to 584.63, 876.93 and 173.78 is: 260.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.63 : 876.93 = 173.78 : x
  2. Step 2: Convert to fraction form
    584.63/876.93 = 173.78/x
  3. Step 3: Cross multiply
    584.63x = 876.93 × 173.78
  4. Step 4: Simplify right side
    584.63x = 152,391.15
  5. Step 5: Solve for x
    x = 152,391.15/584.63
  6. Step 6: Final answer
    x = 260.66

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