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Finding the Fourth Proportional to 465.26, 641.97 and 299.42

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Solution

The fourth proportional to 465.26, 641.97 and 299.42 is: 413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.26 : 641.97 = 299.42 : x
  2. Step 2: Convert to fraction form
    465.26/641.97 = 299.42/x
  3. Step 3: Cross multiply
    465.26x = 641.97 × 299.42
  4. Step 4: Simplify right side
    465.26x = 192,218.66
  5. Step 5: Solve for x
    x = 192,218.66/465.26
  6. Step 6: Final answer
    x = 413.14

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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.