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Finding the Fourth Proportional to 413.56, 570.67 and 238.87

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Solution

The fourth proportional to 413.56, 570.67 and 238.87 is: 329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.56 : 570.67 = 238.87 : x
  2. Step 2: Convert to fraction form
    413.56/570.67 = 238.87/x
  3. Step 3: Cross multiply
    413.56x = 570.67 × 238.87
  4. Step 4: Simplify right side
    413.56x = 136,315.94
  5. Step 5: Solve for x
    x = 136,315.94/413.56
  6. Step 6: Final answer
    x = 329.62

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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.