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Finding the Fourth Proportional to 382.22, 575.57 and 274.76

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Solution

The fourth proportional to 382.22, 575.57 and 274.76 is: 413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.22 : 575.57 = 274.76 : x
  2. Step 2: Convert to fraction form
    382.22/575.57 = 274.76/x
  3. Step 3: Cross multiply
    382.22x = 575.57 × 274.76
  4. Step 4: Simplify right side
    382.22x = 158,140.39
  5. Step 5: Solve for x
    x = 158,140.39/382.22
  6. Step 6: Final answer
    x = 413.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.