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Finding the Fourth Proportional to 381.34, 572.33 and 273.43

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Solution

The fourth proportional to 381.34, 572.33 and 273.43 is: 410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.34 : 572.33 = 273.43 : x
  2. Step 2: Convert to fraction form
    381.34/572.33 = 273.43/x
  3. Step 3: Cross multiply
    381.34x = 572.33 × 273.43
  4. Step 4: Simplify right side
    381.34x = 156,492.19
  5. Step 5: Solve for x
    x = 156,492.19/381.34
  6. Step 6: Final answer
    x = 410.37

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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.