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Finding the Fourth Proportional to 413.50, 570.71 and 245.49

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Solution

The fourth proportional to 413.50, 570.71 and 245.49 is: 338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.50 : 570.71 = 245.49 : x
  2. Step 2: Convert to fraction form
    413.50/570.71 = 245.49/x
  3. Step 3: Cross multiply
    413.50x = 570.71 × 245.49
  4. Step 4: Simplify right side
    413.50x = 140,104.21
  5. Step 5: Solve for x
    x = 140,104.21/413.50
  6. Step 6: Final answer
    x = 338.83

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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.