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Finding the Fourth Proportional to 629.75, 868.10 and 442.73

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Solution

The fourth proportional to 629.75, 868.10 and 442.73 is: 610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.75 : 868.10 = 442.73 : x
  2. Step 2: Convert to fraction form
    629.75/868.10 = 442.73/x
  3. Step 3: Cross multiply
    629.75x = 868.10 × 442.73
  4. Step 4: Simplify right side
    629.75x = 384,333.87
  5. Step 5: Solve for x
    x = 384,333.87/629.75
  6. Step 6: Final answer
    x = 610.29

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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.