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Finding the Fourth Proportional to 446.73, 616.41 and 299.31

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Solution

The fourth proportional to 446.73, 616.41 and 299.31 is: 413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.73 : 616.41 = 299.31 : x
  2. Step 2: Convert to fraction form
    446.73/616.41 = 299.31/x
  3. Step 3: Cross multiply
    446.73x = 616.41 × 299.31
  4. Step 4: Simplify right side
    446.73x = 184,497.68
  5. Step 5: Solve for x
    x = 184,497.68/446.73
  6. Step 6: Final answer
    x = 413.00

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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.