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Finding the Fourth Proportional to 447.97, 618.21 and 251.50

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Solution

The fourth proportional to 447.97, 618.21 and 251.50 is: 347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.97 : 618.21 = 251.50 : x
  2. Step 2: Convert to fraction form
    447.97/618.21 = 251.50/x
  3. Step 3: Cross multiply
    447.97x = 618.21 × 251.50
  4. Step 4: Simplify right side
    447.97x = 155,478.27
  5. Step 5: Solve for x
    x = 155,478.27/447.97
  6. Step 6: Final answer
    x = 347.07

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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.