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Finding the Fourth Proportional to 708.82, 977.94 and 413.98

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Solution

The fourth proportional to 708.82, 977.94 and 413.98 is: 571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.82 : 977.94 = 413.98 : x
  2. Step 2: Convert to fraction form
    708.82/977.94 = 413.98/x
  3. Step 3: Cross multiply
    708.82x = 977.94 × 413.98
  4. Step 4: Simplify right side
    708.82x = 404,845.16
  5. Step 5: Solve for x
    x = 404,845.16/708.82
  6. Step 6: Final answer
    x = 571.16

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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.