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Finding the Fourth Proportional to 657.98, 985.86 and 413.96

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Solution

The fourth proportional to 657.98, 985.86 and 413.96 is: 620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.98 : 985.86 = 413.96 : x
  2. Step 2: Convert to fraction form
    657.98/985.86 = 413.96/x
  3. Step 3: Cross multiply
    657.98x = 985.86 × 413.96
  4. Step 4: Simplify right side
    657.98x = 408,106.61
  5. Step 5: Solve for x
    x = 408,106.61/657.98
  6. Step 6: Final answer
    x = 620.24

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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.