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Finding the Fourth Proportional to 519.94, 717.42 and 323.31

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Solution

The fourth proportional to 519.94, 717.42 and 323.31 is: 446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 717.42 = 323.31 : x
  2. Step 2: Convert to fraction form
    519.94/717.42 = 323.31/x
  3. Step 3: Cross multiply
    519.94x = 717.42 × 323.31
  4. Step 4: Simplify right side
    519.94x = 231,949.06
  5. Step 5: Solve for x
    x = 231,949.06/519.94
  6. Step 6: Final answer
    x = 446.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.