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Finding the Fourth Proportional to 708.86, 977.90 and 413.99

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Solution

The fourth proportional to 708.86, 977.90 and 413.99 is: 571.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.86 : 977.90 = 413.99 : x
  2. Step 2: Convert to fraction form
    708.86/977.90 = 413.99/x
  3. Step 3: Cross multiply
    708.86x = 977.90 × 413.99
  4. Step 4: Simplify right side
    708.86x = 404,844.30
  5. Step 5: Solve for x
    x = 404,844.30/708.86
  6. Step 6: Final answer
    x = 571.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.