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Finding the Fourth Proportional to 490.80, 735.30 and 413.40

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Solution

The fourth proportional to 490.80, 735.30 and 413.40 is: 619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.80 : 735.30 = 413.40 : x
  2. Step 2: Convert to fraction form
    490.80/735.30 = 413.40/x
  3. Step 3: Cross multiply
    490.80x = 735.30 × 413.40
  4. Step 4: Simplify right side
    490.80x = 303,973.02
  5. Step 5: Solve for x
    x = 303,973.02/490.80
  6. Step 6: Final answer
    x = 619.34

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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.