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Finding the Fourth Proportional to 324.14, 447.53 and 254.48

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Solution

The fourth proportional to 324.14, 447.53 and 254.48 is: 351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.14 : 447.53 = 254.48 : x
  2. Step 2: Convert to fraction form
    324.14/447.53 = 254.48/x
  3. Step 3: Cross multiply
    324.14x = 447.53 × 254.48
  4. Step 4: Simplify right side
    324.14x = 113,883.92
  5. Step 5: Solve for x
    x = 113,883.92/324.14
  6. Step 6: Final answer
    x = 351.35

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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.