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Finding the Fourth Proportional to 446.86, 617.34 and 299.44

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Solution

The fourth proportional to 446.86, 617.34 and 299.44 is: 413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.86 : 617.34 = 299.44 : x
  2. Step 2: Convert to fraction form
    446.86/617.34 = 299.44/x
  3. Step 3: Cross multiply
    446.86x = 617.34 × 299.44
  4. Step 4: Simplify right side
    446.86x = 184,856.29
  5. Step 5: Solve for x
    x = 184,856.29/446.86
  6. Step 6: Final answer
    x = 413.68

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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.