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Finding the Fourth Proportional to 413.57, 570.71 and 247.73

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Solution

The fourth proportional to 413.57, 570.71 and 247.73 is: 341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.57 : 570.71 = 247.73 : x
  2. Step 2: Convert to fraction form
    413.57/570.71 = 247.73/x
  3. Step 3: Cross multiply
    413.57x = 570.71 × 247.73
  4. Step 4: Simplify right side
    413.57x = 141,379.75
  5. Step 5: Solve for x
    x = 141,379.75/413.57
  6. Step 6: Final answer
    x = 341.85

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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.