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Finding the Fourth Proportional to 693.29, 956.61 and 413.59

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Solution

The fourth proportional to 693.29, 956.61 and 413.59 is: 570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.29 : 956.61 = 413.59 : x
  2. Step 2: Convert to fraction form
    693.29/956.61 = 413.59/x
  3. Step 3: Cross multiply
    693.29x = 956.61 × 413.59
  4. Step 4: Simplify right side
    693.29x = 395,644.33
  5. Step 5: Solve for x
    x = 395,644.33/693.29
  6. Step 6: Final answer
    x = 570.68

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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.