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Finding the Fourth Proportional to 413.20, 619.63 and 178.95

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Solution

The fourth proportional to 413.20, 619.63 and 178.95 is: 268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.20 : 619.63 = 178.95 : x
  2. Step 2: Convert to fraction form
    413.20/619.63 = 178.95/x
  3. Step 3: Cross multiply
    413.20x = 619.63 × 178.95
  4. Step 4: Simplify right side
    413.20x = 110,878.80
  5. Step 5: Solve for x
    x = 110,878.80/413.20
  6. Step 6: Final answer
    x = 268.34

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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.