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Finding the Fourth Proportional to 551.87, 826.34 and 442.41

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Solution

The fourth proportional to 551.87, 826.34 and 442.41 is: 662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.87 : 826.34 = 442.41 : x
  2. Step 2: Convert to fraction form
    551.87/826.34 = 442.41/x
  3. Step 3: Cross multiply
    551.87x = 826.34 × 442.41
  4. Step 4: Simplify right side
    551.87x = 365,578.09
  5. Step 5: Solve for x
    x = 365,578.09/551.87
  6. Step 6: Final answer
    x = 662.43

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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.