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Finding the Fourth Proportional to 456.36, 629.82 and 323.82

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Solution

The fourth proportional to 456.36, 629.82 and 323.82 is: 446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.36 : 629.82 = 323.82 : x
  2. Step 2: Convert to fraction form
    456.36/629.82 = 323.82/x
  3. Step 3: Cross multiply
    456.36x = 629.82 × 323.82
  4. Step 4: Simplify right side
    456.36x = 203,948.31
  5. Step 5: Solve for x
    x = 203,948.31/456.36
  6. Step 6: Final answer
    x = 446.90

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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.