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Finding the Fourth Proportional to 662.24, 913.71 and 413.81

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Solution

The fourth proportional to 662.24, 913.71 and 413.81 is: 570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.24 : 913.71 = 413.81 : x
  2. Step 2: Convert to fraction form
    662.24/913.71 = 413.81/x
  3. Step 3: Cross multiply
    662.24x = 913.71 × 413.81
  4. Step 4: Simplify right side
    662.24x = 378,104.62
  5. Step 5: Solve for x
    x = 378,104.62/662.24
  6. Step 6: Final answer
    x = 570.95

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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.