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Finding the Fourth Proportional to 382.22, 572.52 and 244.94

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Solution

The fourth proportional to 382.22, 572.52 and 244.94 is: 366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 572.52 = 244.94 : x
  2. Step 2: Convert to fraction form
    382.22/572.52 = 244.94/x
  3. Step 3: Cross multiply
    382.22x = 572.52 × 244.94
  4. Step 4: Simplify right side
    382.22x = 140,233.05
  5. Step 5: Solve for x
    x = 140,233.05/382.22
  6. Step 6: Final answer
    x = 366.89

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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.