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Finding the Fourth Proportional to 519.69, 717.17 and 286.81

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Solution

The fourth proportional to 519.69, 717.17 and 286.81 is: 395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.69 : 717.17 = 286.81 : x
  2. Step 2: Convert to fraction form
    519.69/717.17 = 286.81/x
  3. Step 3: Cross multiply
    519.69x = 717.17 × 286.81
  4. Step 4: Simplify right side
    519.69x = 205,691.53
  5. Step 5: Solve for x
    x = 205,691.53/519.69
  6. Step 6: Final answer
    x = 395.80

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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.