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Finding the Fourth Proportional to 324.24, 447.10 and 254.18

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Solution

The fourth proportional to 324.24, 447.10 and 254.18 is: 350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.24 : 447.10 = 254.18 : x
  2. Step 2: Convert to fraction form
    324.24/447.10 = 254.18/x
  3. Step 3: Cross multiply
    324.24x = 447.10 × 254.18
  4. Step 4: Simplify right side
    324.24x = 113,643.88
  5. Step 5: Solve for x
    x = 113,643.88/324.24
  6. Step 6: Final answer
    x = 350.49

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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.