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Finding the Fourth Proportional to 413.14, 619.74 and 169.50

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Solution

The fourth proportional to 413.14, 619.74 and 169.50 is: 254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 619.74 = 169.50 : x
  2. Step 2: Convert to fraction form
    413.14/619.74 = 169.50/x
  3. Step 3: Cross multiply
    413.14x = 619.74 × 169.50
  4. Step 4: Simplify right side
    413.14x = 105,045.93
  5. Step 5: Solve for x
    x = 105,045.93/413.14
  6. Step 6: Final answer
    x = 254.26

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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.