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Finding the Fourth Proportional to 324.75, 447.79 and 254.68

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Solution

The fourth proportional to 324.75, 447.79 and 254.68 is: 351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.75 : 447.79 = 254.68 : x
  2. Step 2: Convert to fraction form
    324.75/447.79 = 254.68/x
  3. Step 3: Cross multiply
    324.75x = 447.79 × 254.68
  4. Step 4: Simplify right side
    324.75x = 114,043.16
  5. Step 5: Solve for x
    x = 114,043.16/324.75
  6. Step 6: Final answer
    x = 351.17

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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.