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Finding the Fourth Proportional to 693.43, 956.88 and 413.63

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Solution

The fourth proportional to 693.43, 956.88 and 413.63 is: 570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.43 : 956.88 = 413.63 : x
  2. Step 2: Convert to fraction form
    693.43/956.88 = 413.63/x
  3. Step 3: Cross multiply
    693.43x = 956.88 × 413.63
  4. Step 4: Simplify right side
    693.43x = 395,794.27
  5. Step 5: Solve for x
    x = 395,794.27/693.43
  6. Step 6: Final answer
    x = 570.78

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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.