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Finding the Fourth Proportional to 517.98, 714.82 and 308.27

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Solution

The fourth proportional to 517.98, 714.82 and 308.27 is: 425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.98 : 714.82 = 308.27 : x
  2. Step 2: Convert to fraction form
    517.98/714.82 = 308.27/x
  3. Step 3: Cross multiply
    517.98x = 714.82 × 308.27
  4. Step 4: Simplify right side
    517.98x = 220,357.56
  5. Step 5: Solve for x
    x = 220,357.56/517.98
  6. Step 6: Final answer
    x = 425.42

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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.