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Finding the Fourth Proportional to 657.40, 986.36 and 413.88

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Solution

The fourth proportional to 657.40, 986.36 and 413.88 is: 620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.40 : 986.36 = 413.88 : x
  2. Step 2: Convert to fraction form
    657.40/986.36 = 413.88/x
  3. Step 3: Cross multiply
    657.40x = 986.36 × 413.88
  4. Step 4: Simplify right side
    657.40x = 408,234.68
  5. Step 5: Solve for x
    x = 408,234.68/657.40
  6. Step 6: Final answer
    x = 620.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.