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Finding the Fourth Proportional to 519.20, 716.50 and 286.33

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Solution

The fourth proportional to 519.20, 716.50 and 286.33 is: 395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.20 : 716.50 = 286.33 : x
  2. Step 2: Convert to fraction form
    519.20/716.50 = 286.33/x
  3. Step 3: Cross multiply
    519.20x = 716.50 × 286.33
  4. Step 4: Simplify right side
    519.20x = 205,155.45
  5. Step 5: Solve for x
    x = 205,155.45/519.20
  6. Step 6: Final answer
    x = 395.14

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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.