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Finding the Fourth Proportional to 382.34, 575.75 and 274.88

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Solution

The fourth proportional to 382.34, 575.75 and 274.88 is: 413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.34 : 575.75 = 274.88 : x
  2. Step 2: Convert to fraction form
    382.34/575.75 = 274.88/x
  3. Step 3: Cross multiply
    382.34x = 575.75 × 274.88
  4. Step 4: Simplify right side
    382.34x = 158,262.16
  5. Step 5: Solve for x
    x = 158,262.16/382.34
  6. Step 6: Final answer
    x = 413.93

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