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Finding the Fourth Proportional to 413.29, 619.94 and 269.92

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Solution

The fourth proportional to 413.29, 619.94 and 269.92 is: 404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.29 : 619.94 = 269.92 : x
  2. Step 2: Convert to fraction form
    413.29/619.94 = 269.92/x
  3. Step 3: Cross multiply
    413.29x = 619.94 × 269.92
  4. Step 4: Simplify right side
    413.29x = 167,334.20
  5. Step 5: Solve for x
    x = 167,334.20/413.29
  6. Step 6: Final answer
    x = 404.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.