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Finding the Fourth Proportional to 712.36, 983.23 and 413.54

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Solution

The fourth proportional to 712.36, 983.23 and 413.54 is: 570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.36 : 983.23 = 413.54 : x
  2. Step 2: Convert to fraction form
    712.36/983.23 = 413.54/x
  3. Step 3: Cross multiply
    712.36x = 983.23 × 413.54
  4. Step 4: Simplify right side
    712.36x = 406,610.53
  5. Step 5: Solve for x
    x = 406,610.53/712.36
  6. Step 6: Final answer
    x = 570.79

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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.