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Finding the Fourth Proportional to 413.91, 570.94 and 239.13

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Solution

The fourth proportional to 413.91, 570.94 and 239.13 is: 329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.91 : 570.94 = 239.13 : x
  2. Step 2: Convert to fraction form
    413.91/570.94 = 239.13/x
  3. Step 3: Cross multiply
    413.91x = 570.94 × 239.13
  4. Step 4: Simplify right side
    413.91x = 136,528.88
  5. Step 5: Solve for x
    x = 136,528.88/413.91
  6. Step 6: Final answer
    x = 329.85

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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.