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Finding the Fourth Proportional to 629.67, 944.49 and 492.83

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Solution

The fourth proportional to 629.67, 944.49 and 492.83 is: 739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.67 : 944.49 = 492.83 : x
  2. Step 2: Convert to fraction form
    629.67/944.49 = 492.83/x
  3. Step 3: Cross multiply
    629.67x = 944.49 × 492.83
  4. Step 4: Simplify right side
    629.67x = 465,473.01
  5. Step 5: Solve for x
    x = 465,473.01/629.67
  6. Step 6: Final answer
    x = 739.23

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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.