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Finding the Fourth Proportional to 456.24, 629.43 and 298.83

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Solution

The fourth proportional to 456.24, 629.43 and 298.83 is: 412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.24 : 629.43 = 298.83 : x
  2. Step 2: Convert to fraction form
    456.24/629.43 = 298.83/x
  3. Step 3: Cross multiply
    456.24x = 629.43 × 298.83
  4. Step 4: Simplify right side
    456.24x = 188,092.57
  5. Step 5: Solve for x
    x = 188,092.57/456.24
  6. Step 6: Final answer
    x = 412.27

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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.