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Finding the Fourth Proportional to 629.45, 944.13 and 304.73

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Solution

The fourth proportional to 629.45, 944.13 and 304.73 is: 457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.45 : 944.13 = 304.73 : x
  2. Step 2: Convert to fraction form
    629.45/944.13 = 304.73/x
  3. Step 3: Cross multiply
    629.45x = 944.13 × 304.73
  4. Step 4: Simplify right side
    629.45x = 287,704.73
  5. Step 5: Solve for x
    x = 287,704.73/629.45
  6. Step 6: Final answer
    x = 457.07

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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.