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Finding the Fourth Proportional to 413.57, 570.70 and 238.91

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Solution

The fourth proportional to 413.57, 570.70 and 238.91 is: 329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.57 : 570.70 = 238.91 : x
  2. Step 2: Convert to fraction form
    413.57/570.70 = 238.91/x
  3. Step 3: Cross multiply
    413.57x = 570.70 × 238.91
  4. Step 4: Simplify right side
    413.57x = 136,345.94
  5. Step 5: Solve for x
    x = 136,345.94/413.57
  6. Step 6: Final answer
    x = 329.68

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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.