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Finding the Fourth Proportional to 298.91, 413.01 and 216.29

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Solution

The fourth proportional to 298.91, 413.01 and 216.29 is: 298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.91 : 413.01 = 216.29 : x
  2. Step 2: Convert to fraction form
    298.91/413.01 = 216.29/x
  3. Step 3: Cross multiply
    298.91x = 413.01 × 216.29
  4. Step 4: Simplify right side
    298.91x = 89,327.87
  5. Step 5: Solve for x
    x = 89,327.87/298.91
  6. Step 6: Final answer
    x = 298.85

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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.