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Finding the Fourth Proportional to 519.38, 716.74 and 286.50

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Solution

The fourth proportional to 519.38, 716.74 and 286.50 is: 395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.38 : 716.74 = 286.50 : x
  2. Step 2: Convert to fraction form
    519.38/716.74 = 286.50/x
  3. Step 3: Cross multiply
    519.38x = 716.74 × 286.50
  4. Step 4: Simplify right side
    519.38x = 205,346.01
  5. Step 5: Solve for x
    x = 205,346.01/519.38
  6. Step 6: Final answer
    x = 395.37

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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.