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Finding the Fourth Proportional to 517.74, 778.23 and 450.12

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Solution

The fourth proportional to 517.74, 778.23 and 450.12 is: 676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.74 : 778.23 = 450.12 : x
  2. Step 2: Convert to fraction form
    517.74/778.23 = 450.12/x
  3. Step 3: Cross multiply
    517.74x = 778.23 × 450.12
  4. Step 4: Simplify right side
    517.74x = 350,296.89
  5. Step 5: Solve for x
    x = 350,296.89/517.74
  6. Step 6: Final answer
    x = 676.59

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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.