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Finding the Fourth Proportional to 382.49, 573.27 and 176.61

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Solution

The fourth proportional to 382.49, 573.27 and 176.61 is: 264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.49 : 573.27 = 176.61 : x
  2. Step 2: Convert to fraction form
    382.49/573.27 = 176.61/x
  3. Step 3: Cross multiply
    382.49x = 573.27 × 176.61
  4. Step 4: Simplify right side
    382.49x = 101,246.70
  5. Step 5: Solve for x
    x = 101,246.70/382.49
  6. Step 6: Final answer
    x = 264.71

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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.