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Finding the Fourth Proportional to 519.50, 716.96 and 286.68

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Solution

The fourth proportional to 519.50, 716.96 and 286.68 is: 395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.50 : 716.96 = 286.68 : x
  2. Step 2: Convert to fraction form
    519.50/716.96 = 286.68/x
  3. Step 3: Cross multiply
    519.50x = 716.96 × 286.68
  4. Step 4: Simplify right side
    519.50x = 205,538.09
  5. Step 5: Solve for x
    x = 205,538.09/519.50
  6. Step 6: Final answer
    x = 395.65

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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.