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Finding the Fourth Proportional to 629.77, 943.98 and 304.69

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Solution

The fourth proportional to 629.77, 943.98 and 304.69 is: 456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.77 : 943.98 = 304.69 : x
  2. Step 2: Convert to fraction form
    629.77/943.98 = 304.69/x
  3. Step 3: Cross multiply
    629.77x = 943.98 × 304.69
  4. Step 4: Simplify right side
    629.77x = 287,621.27
  5. Step 5: Solve for x
    x = 287,621.27/629.77
  6. Step 6: Final answer
    x = 456.71

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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.