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Finding the Fourth Proportional to 518.67, 716.72 and 344.25

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Solution

The fourth proportional to 518.67, 716.72 and 344.25 is: 475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.67 : 716.72 = 344.25 : x
  2. Step 2: Convert to fraction form
    518.67/716.72 = 344.25/x
  3. Step 3: Cross multiply
    518.67x = 716.72 × 344.25
  4. Step 4: Simplify right side
    518.67x = 246,729.14
  5. Step 5: Solve for x
    x = 246,729.14/518.67
  6. Step 6: Final answer
    x = 475.70

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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.