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Finding the Fourth Proportional to 869.84, 1,304.02 and 382.52

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Solution

The fourth proportional to 869.84, 1,304.02 and 382.52 is: 573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.84 : 1,304.02 = 382.52 : x
  2. Step 2: Convert to fraction form
    869.84/1,304.02 = 382.52/x
  3. Step 3: Cross multiply
    869.84x = 1,304.02 × 382.52
  4. Step 4: Simplify right side
    869.84x = 498,813.73
  5. Step 5: Solve for x
    x = 498,813.73/869.84
  6. Step 6: Final answer
    x = 573.45

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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.