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Finding the Fourth Proportional to 413.31, 570.36 and 238.65

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Solution

The fourth proportional to 413.31, 570.36 and 238.65 is: 329.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.31 : 570.36 = 238.65 : x
  2. Step 2: Convert to fraction form
    413.31/570.36 = 238.65/x
  3. Step 3: Cross multiply
    413.31x = 570.36 × 238.65
  4. Step 4: Simplify right side
    413.31x = 136,116.41
  5. Step 5: Solve for x
    x = 136,116.41/413.31
  6. Step 6: Final answer
    x = 329.33

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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.