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Finding the Fourth Proportional to 427.24, 641.92 and 273.23

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Solution

The fourth proportional to 427.24, 641.92 and 273.23 is: 410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.24 : 641.92 = 273.23 : x
  2. Step 2: Convert to fraction form
    427.24/641.92 = 273.23/x
  3. Step 3: Cross multiply
    427.24x = 641.92 × 273.23
  4. Step 4: Simplify right side
    427.24x = 175,391.80
  5. Step 5: Solve for x
    x = 175,391.80/427.24
  6. Step 6: Final answer
    x = 410.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.