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Finding the Fourth Proportional to 519.15, 716.82 and 353.28

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Solution

The fourth proportional to 519.15, 716.82 and 353.28 is: 487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.15 : 716.82 = 353.28 : x
  2. Step 2: Convert to fraction form
    519.15/716.82 = 353.28/x
  3. Step 3: Cross multiply
    519.15x = 716.82 × 353.28
  4. Step 4: Simplify right side
    519.15x = 253,238.17
  5. Step 5: Solve for x
    x = 253,238.17/519.15
  6. Step 6: Final answer
    x = 487.79

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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.