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Finding the Fourth Proportional to 519.67, 716.75 and 309.83

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Solution

The fourth proportional to 519.67, 716.75 and 309.83 is: 427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.67 : 716.75 = 309.83 : x
  2. Step 2: Convert to fraction form
    519.67/716.75 = 309.83/x
  3. Step 3: Cross multiply
    519.67x = 716.75 × 309.83
  4. Step 4: Simplify right side
    519.67x = 222,066.68
  5. Step 5: Solve for x
    x = 222,066.68/519.67
  6. Step 6: Final answer
    x = 427.33

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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.