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Finding the Fourth Proportional to 869.43, 1,304.16 and 284.43

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Solution

The fourth proportional to 869.43, 1,304.16 and 284.43 is: 426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.43 : 1,304.16 = 284.43 : x
  2. Step 2: Convert to fraction form
    869.43/1,304.16 = 284.43/x
  3. Step 3: Cross multiply
    869.43x = 1,304.16 × 284.43
  4. Step 4: Simplify right side
    869.43x = 370,947.65
  5. Step 5: Solve for x
    x = 370,947.65/869.43
  6. Step 6: Final answer
    x = 426.66

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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.