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Finding the Fourth Proportional to 519.31, 716.48 and 363.79

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Solution

The fourth proportional to 519.31, 716.48 and 363.79 is: 501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.31 : 716.48 = 363.79 : x
  2. Step 2: Convert to fraction form
    519.31/716.48 = 363.79/x
  3. Step 3: Cross multiply
    519.31x = 716.48 × 363.79
  4. Step 4: Simplify right side
    519.31x = 260,644.68
  5. Step 5: Solve for x
    x = 260,644.68/519.31
  6. Step 6: Final answer
    x = 501.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.