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Finding the Fourth Proportional to 494.43, 741.74 and 413.83

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Solution

The fourth proportional to 494.43, 741.74 and 413.83 is: 620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.43 : 741.74 = 413.83 : x
  2. Step 2: Convert to fraction form
    494.43/741.74 = 413.83/x
  3. Step 3: Cross multiply
    494.43x = 741.74 × 413.83
  4. Step 4: Simplify right side
    494.43x = 306,953.12
  5. Step 5: Solve for x
    x = 306,953.12/494.43
  6. Step 6: Final answer
    x = 620.83

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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.