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Finding the Fourth Proportional to 324.86, 447.93 and 275.04

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Solution

The fourth proportional to 324.86, 447.93 and 275.04 is: 379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.86 : 447.93 = 275.04 : x
  2. Step 2: Convert to fraction form
    324.86/447.93 = 275.04/x
  3. Step 3: Cross multiply
    324.86x = 447.93 × 275.04
  4. Step 4: Simplify right side
    324.86x = 123,198.67
  5. Step 5: Solve for x
    x = 123,198.67/324.86
  6. Step 6: Final answer
    x = 379.24

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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.