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Finding the Fourth Proportional to 413.12, 619.25 and 169.45

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Solution

The fourth proportional to 413.12, 619.25 and 169.45 is: 253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.12 : 619.25 = 169.45 : x
  2. Step 2: Convert to fraction form
    413.12/619.25 = 169.45/x
  3. Step 3: Cross multiply
    413.12x = 619.25 × 169.45
  4. Step 4: Simplify right side
    413.12x = 104,929.52
  5. Step 5: Solve for x
    x = 104,929.52/413.12
  6. Step 6: Final answer
    x = 253.99

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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.