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Finding the Fourth Proportional to 693.58, 957 and 413.92

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Solution

The fourth proportional to 693.58, 957 and 413.92 is: 571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.58 : 957 = 413.92 : x
  2. Step 2: Convert to fraction form
    693.58/957 = 413.92/x
  3. Step 3: Cross multiply
    693.58x = 957 × 413.92
  4. Step 4: Simplify right side
    693.58x = 396,121.44
  5. Step 5: Solve for x
    x = 396,121.44/693.58
  6. Step 6: Final answer
    x = 571.13

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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.