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Finding the Fourth Proportional to 693.62, 956.77 and 413.66

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Solution

The fourth proportional to 693.62, 956.77 and 413.66 is: 570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.62 : 956.77 = 413.66 : x
  2. Step 2: Convert to fraction form
    693.62/956.77 = 413.66/x
  3. Step 3: Cross multiply
    693.62x = 956.77 × 413.66
  4. Step 4: Simplify right side
    693.62x = 395,777.48
  5. Step 5: Solve for x
    x = 395,777.48/693.62
  6. Step 6: Final answer
    x = 570.60

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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.