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Finding the Fourth Proportional to 708.11, 977.20 and 413.41

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Solution

The fourth proportional to 708.11, 977.20 and 413.41 is: 570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.11 : 977.20 = 413.41 : x
  2. Step 2: Convert to fraction form
    708.11/977.20 = 413.41/x
  3. Step 3: Cross multiply
    708.11x = 977.20 × 413.41
  4. Step 4: Simplify right side
    708.11x = 403,984.25
  5. Step 5: Solve for x
    x = 403,984.25/708.11
  6. Step 6: Final answer
    x = 570.51

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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.