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Finding the Fourth Proportional to 519.25, 716.61 and 286.42

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Solution

The fourth proportional to 519.25, 716.61 and 286.42 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.25 : 716.61 = 286.42 : x
  2. Step 2: Convert to fraction form
    519.25/716.61 = 286.42/x
  3. Step 3: Cross multiply
    519.25x = 716.61 × 286.42
  4. Step 4: Simplify right side
    519.25x = 205,251.44
  5. Step 5: Solve for x
    x = 205,251.44/519.25
  6. Step 6: Final answer
    x = 395.28

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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.