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Finding the Fourth Proportional to 413.12, 619.30 and 241.76

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Solution

The fourth proportional to 413.12, 619.30 and 241.76 is: 362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.12 : 619.30 = 241.76 : x
  2. Step 2: Convert to fraction form
    413.12/619.30 = 241.76/x
  3. Step 3: Cross multiply
    413.12x = 619.30 × 241.76
  4. Step 4: Simplify right side
    413.12x = 149,721.97
  5. Step 5: Solve for x
    x = 149,721.97/413.12
  6. Step 6: Final answer
    x = 362.42

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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.