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Finding the Fourth Proportional to 517.19, 774.24 and 343.25

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Solution

The fourth proportional to 517.19, 774.24 and 343.25 is: 513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.19 : 774.24 = 343.25 : x
  2. Step 2: Convert to fraction form
    517.19/774.24 = 343.25/x
  3. Step 3: Cross multiply
    517.19x = 774.24 × 343.25
  4. Step 4: Simplify right side
    517.19x = 265,755.63
  5. Step 5: Solve for x
    x = 265,755.63/517.19
  6. Step 6: Final answer
    x = 513.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.