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Finding the Fourth Proportional to 413.34, 619.65 and 169.71

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Solution

The fourth proportional to 413.34, 619.65 and 169.71 is: 254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.34 : 619.65 = 169.71 : x
  2. Step 2: Convert to fraction form
    413.34/619.65 = 169.71/x
  3. Step 3: Cross multiply
    413.34x = 619.65 × 169.71
  4. Step 4: Simplify right side
    413.34x = 105,160.80
  5. Step 5: Solve for x
    x = 105,160.80/413.34
  6. Step 6: Final answer
    x = 254.42

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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.