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Finding the Fourth Proportional to 413.49, 620.09 and 297.59

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Solution

The fourth proportional to 413.49, 620.09 and 297.59 is: 446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.49 : 620.09 = 297.59 : x
  2. Step 2: Convert to fraction form
    413.49/620.09 = 297.59/x
  3. Step 3: Cross multiply
    413.49x = 620.09 × 297.59
  4. Step 4: Simplify right side
    413.49x = 184,532.58
  5. Step 5: Solve for x
    x = 184,532.58/413.49
  6. Step 6: Final answer
    x = 446.28

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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.