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Finding the Fourth Proportional to 708.62, 977.67 and 413.69

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Solution

The fourth proportional to 708.62, 977.67 and 413.69 is: 570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.62 : 977.67 = 413.69 : x
  2. Step 2: Convert to fraction form
    708.62/977.67 = 413.69/x
  3. Step 3: Cross multiply
    708.62x = 977.67 × 413.69
  4. Step 4: Simplify right side
    708.62x = 404,447.41
  5. Step 5: Solve for x
    x = 404,447.41/708.62
  6. Step 6: Final answer
    x = 570.76

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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.