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Finding the Fourth Proportional to 869.52, 1,304.24 and 284.48

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Solution

The fourth proportional to 869.52, 1,304.24 and 284.48 is: 426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.52 : 1,304.24 = 284.48 : x
  2. Step 2: Convert to fraction form
    869.52/1,304.24 = 284.48/x
  3. Step 3: Cross multiply
    869.52x = 1,304.24 × 284.48
  4. Step 4: Simplify right side
    869.52x = 371,030.20
  5. Step 5: Solve for x
    x = 371,030.20/869.52
  6. Step 6: Final answer
    x = 426.71

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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.