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Finding the Fourth Proportional to 446.94, 616.62 and 299.61

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Solution

The fourth proportional to 446.94, 616.62 and 299.61 is: 413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.94 : 616.62 = 299.61 : x
  2. Step 2: Convert to fraction form
    446.94/616.62 = 299.61/x
  3. Step 3: Cross multiply
    446.94x = 616.62 × 299.61
  4. Step 4: Simplify right side
    446.94x = 184,745.52
  5. Step 5: Solve for x
    x = 184,745.52/446.94
  6. Step 6: Final answer
    x = 413.36

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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.