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Finding the Fourth Proportional to 456.29, 629.29 and 338.44

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Solution

The fourth proportional to 456.29, 629.29 and 338.44 is: 466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.29 : 629.29 = 338.44 : x
  2. Step 2: Convert to fraction form
    456.29/629.29 = 338.44/x
  3. Step 3: Cross multiply
    456.29x = 629.29 × 338.44
  4. Step 4: Simplify right side
    456.29x = 212,976.91
  5. Step 5: Solve for x
    x = 212,976.91/456.29
  6. Step 6: Final answer
    x = 466.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.