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Finding the Fourth Proportional to 519.36, 716.40 and 363.84

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Solution

The fourth proportional to 519.36, 716.40 and 363.84 is: 501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.36 : 716.40 = 363.84 : x
  2. Step 2: Convert to fraction form
    519.36/716.40 = 363.84/x
  3. Step 3: Cross multiply
    519.36x = 716.40 × 363.84
  4. Step 4: Simplify right side
    519.36x = 260,654.98
  5. Step 5: Solve for x
    x = 260,654.98/519.36
  6. Step 6: Final answer
    x = 501.88

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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.