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Finding the Fourth Proportional to 657.43, 985.79 and 413.44

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Solution

The fourth proportional to 657.43, 985.79 and 413.44 is: 619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.43 : 985.79 = 413.44 : x
  2. Step 2: Convert to fraction form
    657.43/985.79 = 413.44/x
  3. Step 3: Cross multiply
    657.43x = 985.79 × 413.44
  4. Step 4: Simplify right side
    657.43x = 407,561.26
  5. Step 5: Solve for x
    x = 407,561.26/657.43
  6. Step 6: Final answer
    x = 619.93

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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.