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Finding the Fourth Proportional to 447.87, 618.33 and 282.23

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Solution

The fourth proportional to 447.87, 618.33 and 282.23 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.87 : 618.33 = 282.23 : x
  2. Step 2: Convert to fraction form
    447.87/618.33 = 282.23/x
  3. Step 3: Cross multiply
    447.87x = 618.33 × 282.23
  4. Step 4: Simplify right side
    447.87x = 174,511.28
  5. Step 5: Solve for x
    x = 174,511.28/447.87
  6. Step 6: Final answer
    x = 389.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.