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Finding the Fourth Proportional to 869.67, 1,304.54 and 382.61

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Solution

The fourth proportional to 869.67, 1,304.54 and 382.61 is: 573.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.67 : 1,304.54 = 382.61 : x
  2. Step 2: Convert to fraction form
    869.67/1,304.54 = 382.61/x
  3. Step 3: Cross multiply
    869.67x = 1,304.54 × 382.61
  4. Step 4: Simplify right side
    869.67x = 499,121.61
  5. Step 5: Solve for x
    x = 499,121.61/869.67
  6. Step 6: Final answer
    x = 573.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.