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Finding the Fourth Proportional to 711.79, 982.33 and 413.15

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Solution

The fourth proportional to 711.79, 982.33 and 413.15 is: 570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.79 : 982.33 = 413.15 : x
  2. Step 2: Convert to fraction form
    711.79/982.33 = 413.15/x
  3. Step 3: Cross multiply
    711.79x = 982.33 × 413.15
  4. Step 4: Simplify right side
    711.79x = 405,844.73
  5. Step 5: Solve for x
    x = 405,844.73/711.79
  6. Step 6: Final answer
    x = 570.18

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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.