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Finding the Fourth Proportional to 456.27, 629.44 and 331.88

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Solution

The fourth proportional to 456.27, 629.44 and 331.88 is: 457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.27 : 629.44 = 331.88 : x
  2. Step 2: Convert to fraction form
    456.27/629.44 = 331.88/x
  3. Step 3: Cross multiply
    456.27x = 629.44 × 331.88
  4. Step 4: Simplify right side
    456.27x = 208,894.57
  5. Step 5: Solve for x
    x = 208,894.57/456.27
  6. Step 6: Final answer
    x = 457.83

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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.