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Finding the Fourth Proportional to 447.98, 618.25 and 261.52

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Solution

The fourth proportional to 447.98, 618.25 and 261.52 is: 360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.98 : 618.25 = 261.52 : x
  2. Step 2: Convert to fraction form
    447.98/618.25 = 261.52/x
  3. Step 3: Cross multiply
    447.98x = 618.25 × 261.52
  4. Step 4: Simplify right side
    447.98x = 161,681.06
  5. Step 5: Solve for x
    x = 161,681.06/447.98
  6. Step 6: Final answer
    x = 360.91

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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.