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Finding the Fourth Proportional to 629.24, 944.09 and 304.84

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Solution

The fourth proportional to 629.24, 944.09 and 304.84 is: 457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.24 : 944.09 = 304.84 : x
  2. Step 2: Convert to fraction form
    629.24/944.09 = 304.84/x
  3. Step 3: Cross multiply
    629.24x = 944.09 × 304.84
  4. Step 4: Simplify right side
    629.24x = 287,790.15
  5. Step 5: Solve for x
    x = 287,790.15/629.24
  6. Step 6: Final answer
    x = 457.36

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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.