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Finding the Fourth Proportional to 413.58, 570.70 and 238.92

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Solution

The fourth proportional to 413.58, 570.70 and 238.92 is: 329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.58 : 570.70 = 238.92 : x
  2. Step 2: Convert to fraction form
    413.58/570.70 = 238.92/x
  3. Step 3: Cross multiply
    413.58x = 570.70 × 238.92
  4. Step 4: Simplify right side
    413.58x = 136,351.64
  5. Step 5: Solve for x
    x = 136,351.64/413.58
  6. Step 6: Final answer
    x = 329.69

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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.