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Finding the Fourth Proportional to 708.23, 977.33 and 413.66

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Solution

The fourth proportional to 708.23, 977.33 and 413.66 is: 570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.23 : 977.33 = 413.66 : x
  2. Step 2: Convert to fraction form
    708.23/977.33 = 413.66/x
  3. Step 3: Cross multiply
    708.23x = 977.33 × 413.66
  4. Step 4: Simplify right side
    708.23x = 404,275.37
  5. Step 5: Solve for x
    x = 404,275.37/708.23
  6. Step 6: Final answer
    x = 570.83

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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.