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Finding the Fourth Proportional to 413.09, 570.04 and 238.49

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Solution

The fourth proportional to 413.09, 570.04 and 238.49 is: 329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.09 : 570.04 = 238.49 : x
  2. Step 2: Convert to fraction form
    413.09/570.04 = 238.49/x
  3. Step 3: Cross multiply
    413.09x = 570.04 × 238.49
  4. Step 4: Simplify right side
    413.09x = 135,945.39
  5. Step 5: Solve for x
    x = 135,945.39/413.09
  6. Step 6: Final answer
    x = 329.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.