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Finding the Fourth Proportional to 413.12, 619.73 and 193.64

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Solution

The fourth proportional to 413.12, 619.73 and 193.64 is: 290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.12 : 619.73 = 193.64 : x
  2. Step 2: Convert to fraction form
    413.12/619.73 = 193.64/x
  3. Step 3: Cross multiply
    413.12x = 619.73 × 193.64
  4. Step 4: Simplify right side
    413.12x = 120,002.27
  5. Step 5: Solve for x
    x = 120,002.27/413.12
  6. Step 6: Final answer
    x = 290.48

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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.