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Finding the Fourth Proportional to 446.95, 616.89 and 299.73

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Solution

The fourth proportional to 446.95, 616.89 and 299.73 is: 413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.95 : 616.89 = 299.73 : x
  2. Step 2: Convert to fraction form
    446.95/616.89 = 299.73/x
  3. Step 3: Cross multiply
    446.95x = 616.89 × 299.73
  4. Step 4: Simplify right side
    446.95x = 184,900.44
  5. Step 5: Solve for x
    x = 184,900.44/446.95
  6. Step 6: Final answer
    x = 413.69

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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.