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Finding the Fourth Proportional to 413.86, 622.00 and 270.49

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Solution

The fourth proportional to 413.86, 622.00 and 270.49 is: 406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.86 : 622.00 = 270.49 : x
  2. Step 2: Convert to fraction form
    413.86/622.00 = 270.49/x
  3. Step 3: Cross multiply
    413.86x = 622.00 × 270.49
  4. Step 4: Simplify right side
    413.86x = 168,240.32
  5. Step 5: Solve for x
    x = 168,240.32/413.86
  6. Step 6: Final answer
    x = 406.52

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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.