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Finding the Fourth Proportional to 561.43, 842.31 and 269.17

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Solution

The fourth proportional to 561.43, 842.31 and 269.17 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.43 : 842.31 = 269.17 : x
  2. Step 2: Convert to fraction form
    561.43/842.31 = 269.17/x
  3. Step 3: Cross multiply
    561.43x = 842.31 × 269.17
  4. Step 4: Simplify right side
    561.43x = 226,724.58
  5. Step 5: Solve for x
    x = 226,724.58/561.43
  6. Step 6: Final answer
    x = 403.83

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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.