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Finding the Fourth Proportional to 413.21, 619.81 and 169.56

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Solution

The fourth proportional to 413.21, 619.81 and 169.56 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.21 : 619.81 = 169.56 : x
  2. Step 2: Convert to fraction form
    413.21/619.81 = 169.56/x
  3. Step 3: Cross multiply
    413.21x = 619.81 × 169.56
  4. Step 4: Simplify right side
    413.21x = 105,094.77
  5. Step 5: Solve for x
    x = 105,094.77/413.21
  6. Step 6: Final answer
    x = 254.34

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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.