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Finding the Fourth Proportional to 869.73, 1,304.58 and 211.61

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Solution

The fourth proportional to 869.73, 1,304.58 and 211.61 is: 317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.73 : 1,304.58 = 211.61 : x
  2. Step 2: Convert to fraction form
    869.73/1,304.58 = 211.61/x
  3. Step 3: Cross multiply
    869.73x = 1,304.58 × 211.61
  4. Step 4: Simplify right side
    869.73x = 276,062.17
  5. Step 5: Solve for x
    x = 276,062.17/869.73
  6. Step 6: Final answer
    x = 317.41

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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.