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Finding the Fourth Proportional to 629.38, 943.43 and 304.57

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Solution

The fourth proportional to 629.38, 943.43 and 304.57 is: 456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.38 : 943.43 = 304.57 : x
  2. Step 2: Convert to fraction form
    629.38/943.43 = 304.57/x
  3. Step 3: Cross multiply
    629.38x = 943.43 × 304.57
  4. Step 4: Simplify right side
    629.38x = 287,336.59
  5. Step 5: Solve for x
    x = 287,336.59/629.38
  6. Step 6: Final answer
    x = 456.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.