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Finding the Fourth Proportional to 629.37, 942.83 and 304.97

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Solution

The fourth proportional to 629.37, 942.83 and 304.97 is: 456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.37 : 942.83 = 304.97 : x
  2. Step 2: Convert to fraction form
    629.37/942.83 = 304.97/x
  3. Step 3: Cross multiply
    629.37x = 942.83 × 304.97
  4. Step 4: Simplify right side
    629.37x = 287,534.87
  5. Step 5: Solve for x
    x = 287,534.87/629.37
  6. Step 6: Final answer
    x = 456.86

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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.