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Finding the Fourth Proportional to 413.20, 619.32 and 398.80

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Solution

The fourth proportional to 413.20, 619.32 and 398.80 is: 597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.20 : 619.32 = 398.80 : x
  2. Step 2: Convert to fraction form
    413.20/619.32 = 398.80/x
  3. Step 3: Cross multiply
    413.20x = 619.32 × 398.80
  4. Step 4: Simplify right side
    413.20x = 246,984.82
  5. Step 5: Solve for x
    x = 246,984.82/413.20
  6. Step 6: Final answer
    x = 597.74

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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.