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Finding the Fourth Proportional to 413.67, 570.87 and 238.98

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Solution

The fourth proportional to 413.67, 570.87 and 238.98 is: 329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.67 : 570.87 = 238.98 : x
  2. Step 2: Convert to fraction form
    413.67/570.87 = 238.98/x
  3. Step 3: Cross multiply
    413.67x = 570.87 × 238.98
  4. Step 4: Simplify right side
    413.67x = 136,426.51
  5. Step 5: Solve for x
    x = 136,426.51/413.67
  6. Step 6: Final answer
    x = 329.80

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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.