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Finding the Fourth Proportional to 629.47, 944.26 and 304.59

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Solution

The fourth proportional to 629.47, 944.26 and 304.59 is: 456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.47 : 944.26 = 304.59 : x
  2. Step 2: Convert to fraction form
    629.47/944.26 = 304.59/x
  3. Step 3: Cross multiply
    629.47x = 944.26 × 304.59
  4. Step 4: Simplify right side
    629.47x = 287,614.93
  5. Step 5: Solve for x
    x = 287,614.93/629.47
  6. Step 6: Final answer
    x = 456.92

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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.