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Finding the Fourth Proportional to 584.72, 876.92 and 260.24

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Solution

The fourth proportional to 584.72, 876.92 and 260.24 is: 390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.72 : 876.92 = 260.24 : x
  2. Step 2: Convert to fraction form
    584.72/876.92 = 260.24/x
  3. Step 3: Cross multiply
    584.72x = 876.92 × 260.24
  4. Step 4: Simplify right side
    584.72x = 228,209.66
  5. Step 5: Solve for x
    x = 228,209.66/584.72
  6. Step 6: Final answer
    x = 390.29

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