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Finding the Fourth Proportional to 518.82, 716.20 and 344.40

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Solution

The fourth proportional to 518.82, 716.20 and 344.40 is: 475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.82 : 716.20 = 344.40 : x
  2. Step 2: Convert to fraction form
    518.82/716.20 = 344.40/x
  3. Step 3: Cross multiply
    518.82x = 716.20 × 344.40
  4. Step 4: Simplify right side
    518.82x = 246,659.28
  5. Step 5: Solve for x
    x = 246,659.28/518.82
  6. Step 6: Final answer
    x = 475.42

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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.