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Finding the Fourth Proportional to 447.73, 618.13 and 416.54

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Solution

The fourth proportional to 447.73, 618.13 and 416.54 is: 575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.73 : 618.13 = 416.54 : x
  2. Step 2: Convert to fraction form
    447.73/618.13 = 416.54/x
  3. Step 3: Cross multiply
    447.73x = 618.13 × 416.54
  4. Step 4: Simplify right side
    447.73x = 257,477.94
  5. Step 5: Solve for x
    x = 257,477.94/447.73
  6. Step 6: Final answer
    x = 575.08

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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.