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Finding the Fourth Proportional to 447.98, 618.19 and 261.47

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Solution

The fourth proportional to 447.98, 618.19 and 261.47 is: 360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.98 : 618.19 = 261.47 : x
  2. Step 2: Convert to fraction form
    447.98/618.19 = 261.47/x
  3. Step 3: Cross multiply
    447.98x = 618.19 × 261.47
  4. Step 4: Simplify right side
    447.98x = 161,639.03
  5. Step 5: Solve for x
    x = 161,639.03/447.98
  6. Step 6: Final answer
    x = 360.82

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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.