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Finding the Fourth Proportional to 465.27, 641.97 and 299.72

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Solution

The fourth proportional to 465.27, 641.97 and 299.72 is: 413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.27 : 641.97 = 299.72 : x
  2. Step 2: Convert to fraction form
    465.27/641.97 = 299.72/x
  3. Step 3: Cross multiply
    465.27x = 641.97 × 299.72
  4. Step 4: Simplify right side
    465.27x = 192,408.04
  5. Step 5: Solve for x
    x = 192,408.04/465.27
  6. Step 6: Final answer
    x = 413.54

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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.