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Finding the Fourth Proportional to 711.86, 982.28 and 413.11

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Solution

The fourth proportional to 711.86, 982.28 and 413.11 is: 570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.86 : 982.28 = 413.11 : x
  2. Step 2: Convert to fraction form
    711.86/982.28 = 413.11/x
  3. Step 3: Cross multiply
    711.86x = 982.28 × 413.11
  4. Step 4: Simplify right side
    711.86x = 405,789.69
  5. Step 5: Solve for x
    x = 405,789.69/711.86
  6. Step 6: Final answer
    x = 570.04

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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.