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Finding the Fourth Proportional to 869.26, 1,304.16 and 382.36

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Solution

The fourth proportional to 869.26, 1,304.16 and 382.36 is: 573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.26 : 1,304.16 = 382.36 : x
  2. Step 2: Convert to fraction form
    869.26/1,304.16 = 382.36/x
  3. Step 3: Cross multiply
    869.26x = 1,304.16 × 382.36
  4. Step 4: Simplify right side
    869.26x = 498,658.62
  5. Step 5: Solve for x
    x = 498,658.62/869.26
  6. Step 6: Final answer
    x = 573.66

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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.