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Finding the Fourth Proportional to 581.33, 872.21 and 269.13

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Solution

The fourth proportional to 581.33, 872.21 and 269.13 is: 403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.33 : 872.21 = 269.13 : x
  2. Step 2: Convert to fraction form
    581.33/872.21 = 269.13/x
  3. Step 3: Cross multiply
    581.33x = 872.21 × 269.13
  4. Step 4: Simplify right side
    581.33x = 234,738.55
  5. Step 5: Solve for x
    x = 234,738.55/581.33
  6. Step 6: Final answer
    x = 403.79

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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.