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Finding the Fourth Proportional to 708.68, 977.89 and 413.91

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Solution

The fourth proportional to 708.68, 977.89 and 413.91 is: 571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.68 : 977.89 = 413.91 : x
  2. Step 2: Convert to fraction form
    708.68/977.89 = 413.91/x
  3. Step 3: Cross multiply
    708.68x = 977.89 × 413.91
  4. Step 4: Simplify right side
    708.68x = 404,758.45
  5. Step 5: Solve for x
    x = 404,758.45/708.68
  6. Step 6: Final answer
    x = 571.14

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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.