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Finding the Fourth Proportional to 446.92, 616.48 and 299.57

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Solution

The fourth proportional to 446.92, 616.48 and 299.57 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.92 : 616.48 = 299.57 : x
  2. Step 2: Convert to fraction form
    446.92/616.48 = 299.57/x
  3. Step 3: Cross multiply
    446.92x = 616.48 × 299.57
  4. Step 4: Simplify right side
    446.92x = 184,675.08
  5. Step 5: Solve for x
    x = 184,675.08/446.92
  6. Step 6: Final answer
    x = 413.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.