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Finding the Fourth Proportional to 519.57, 716.97 and 286.69

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Solution

The fourth proportional to 519.57, 716.97 and 286.69 is: 395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.57 : 716.97 = 286.69 : x
  2. Step 2: Convert to fraction form
    519.57/716.97 = 286.69/x
  3. Step 3: Cross multiply
    519.57x = 716.97 × 286.69
  4. Step 4: Simplify right side
    519.57x = 205,548.13
  5. Step 5: Solve for x
    x = 205,548.13/519.57
  6. Step 6: Final answer
    x = 395.62

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Why These Related Problems?

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