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Finding the Fourth Proportional to 708.49, 977.78 and 413.85

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Solution

The fourth proportional to 708.49, 977.78 and 413.85 is: 571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.49 : 977.78 = 413.85 : x
  2. Step 2: Convert to fraction form
    708.49/977.78 = 413.85/x
  3. Step 3: Cross multiply
    708.49x = 977.78 × 413.85
  4. Step 4: Simplify right side
    708.49x = 404,658.95
  5. Step 5: Solve for x
    x = 404,658.95/708.49
  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.