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Finding the Fourth Proportional to 519.69, 717.14 and 323.33

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Solution

The fourth proportional to 519.69, 717.14 and 323.33 is: 446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.69 : 717.14 = 323.33 : x
  2. Step 2: Convert to fraction form
    519.69/717.14 = 323.33/x
  3. Step 3: Cross multiply
    519.69x = 717.14 × 323.33
  4. Step 4: Simplify right side
    519.69x = 231,875.48
  5. Step 5: Solve for x
    x = 231,875.48/519.69
  6. Step 6: Final answer
    x = 446.18

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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.