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Finding the Fourth Proportional to 517.31, 771.97 and 462.63

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Solution

The fourth proportional to 517.31, 771.97 and 462.63 is: 690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.31 : 771.97 = 462.63 : x
  2. Step 2: Convert to fraction form
    517.31/771.97 = 462.63/x
  3. Step 3: Cross multiply
    517.31x = 771.97 × 462.63
  4. Step 4: Simplify right side
    517.31x = 357,136.48
  5. Step 5: Solve for x
    x = 357,136.48/517.31
  6. Step 6: Final answer
    x = 690.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.