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Finding the Fourth Proportional to 382.22, 572.25 and 244.93

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Solution

The fourth proportional to 382.22, 572.25 and 244.93 is: 366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 572.25 = 244.93 : x
  2. Step 2: Convert to fraction form
    382.22/572.25 = 244.93/x
  3. Step 3: Cross multiply
    382.22x = 572.25 × 244.93
  4. Step 4: Simplify right side
    382.22x = 140,161.19
  5. Step 5: Solve for x
    x = 140,161.19/382.22
  6. Step 6: Final answer
    x = 366.70

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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.