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Finding the Fourth Proportional to 693.69, 956.85 and 413.73

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Solution

The fourth proportional to 693.69, 956.85 and 413.73 is: 570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.69 : 956.85 = 413.73 : x
  2. Step 2: Convert to fraction form
    693.69/956.85 = 413.73/x
  3. Step 3: Cross multiply
    693.69x = 956.85 × 413.73
  4. Step 4: Simplify right side
    693.69x = 395,877.55
  5. Step 5: Solve for x
    x = 395,877.55/693.69
  6. Step 6: Final answer
    x = 570.68

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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.