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Finding the Fourth Proportional to 380.92, 572.29 and 244.23

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Solution

The fourth proportional to 380.92, 572.29 and 244.23 is: 366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.92 : 572.29 = 244.23 : x
  2. Step 2: Convert to fraction form
    380.92/572.29 = 244.23/x
  3. Step 3: Cross multiply
    380.92x = 572.29 × 244.23
  4. Step 4: Simplify right side
    380.92x = 139,770.39
  5. Step 5: Solve for x
    x = 139,770.39/380.92
  6. Step 6: Final answer
    x = 366.93

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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.