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Finding the Fourth Proportional to 413.18, 619.75 and 105.04

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Solution

The fourth proportional to 413.18, 619.75 and 105.04 is: 157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.18 : 619.75 = 105.04 : x
  2. Step 2: Convert to fraction form
    413.18/619.75 = 105.04/x
  3. Step 3: Cross multiply
    413.18x = 619.75 × 105.04
  4. Step 4: Simplify right side
    413.18x = 65,098.54
  5. Step 5: Solve for x
    x = 65,098.54/413.18
  6. Step 6: Final answer
    x = 157.55

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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.