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Finding the Fourth Proportional to 494.70, 741.33 and 413.34

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Solution

The fourth proportional to 494.70, 741.33 and 413.34 is: 619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.70 : 741.33 = 413.34 : x
  2. Step 2: Convert to fraction form
    494.70/741.33 = 413.34/x
  3. Step 3: Cross multiply
    494.70x = 741.33 × 413.34
  4. Step 4: Simplify right side
    494.70x = 306,421.34
  5. Step 5: Solve for x
    x = 306,421.34/494.70
  6. Step 6: Final answer
    x = 619.41

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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.