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Finding the Fourth Proportional to 324.66, 447.42 and 272.25

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Solution

The fourth proportional to 324.66, 447.42 and 272.25 is: 375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.66 : 447.42 = 272.25 : x
  2. Step 2: Convert to fraction form
    324.66/447.42 = 272.25/x
  3. Step 3: Cross multiply
    324.66x = 447.42 × 272.25
  4. Step 4: Simplify right side
    324.66x = 121,810.10
  5. Step 5: Solve for x
    x = 121,810.10/324.66
  6. Step 6: Final answer
    x = 375.19

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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.