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Finding the Fourth Proportional to 708.62, 977.77 and 413.84

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Solution

The fourth proportional to 708.62, 977.77 and 413.84 is: 571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.62 : 977.77 = 413.84 : x
  2. Step 2: Convert to fraction form
    708.62/977.77 = 413.84/x
  3. Step 3: Cross multiply
    708.62x = 977.77 × 413.84
  4. Step 4: Simplify right side
    708.62x = 404,643.30
  5. Step 5: Solve for x
    x = 404,643.30/708.62
  6. Step 6: Final answer
    x = 571.03

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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.