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Finding the Fourth Proportional to 413.42, 570.36 and 238.66

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Solution

The fourth proportional to 413.42, 570.36 and 238.66 is: 329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.42 : 570.36 = 238.66 : x
  2. Step 2: Convert to fraction form
    413.42/570.36 = 238.66/x
  3. Step 3: Cross multiply
    413.42x = 570.36 × 238.66
  4. Step 4: Simplify right side
    413.42x = 136,122.12
  5. Step 5: Solve for x
    x = 136,122.12/413.42
  6. Step 6: Final answer
    x = 329.26

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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.