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Finding the Fourth Proportional to 413.10, 570.09 and 238.41

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Solution

The fourth proportional to 413.10, 570.09 and 238.41 is: 329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 570.09 = 238.41 : x
  2. Step 2: Convert to fraction form
    413.10/570.09 = 238.41/x
  3. Step 3: Cross multiply
    413.10x = 570.09 × 238.41
  4. Step 4: Simplify right side
    413.10x = 135,915.16
  5. Step 5: Solve for x
    x = 135,915.16/413.10
  6. Step 6: Final answer
    x = 329.01

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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.