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Finding the Fourth Proportional to 413.03, 618.91 and 207.43

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Solution

The fourth proportional to 413.03, 618.91 and 207.43 is: 310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.03 : 618.91 = 207.43 : x
  2. Step 2: Convert to fraction form
    413.03/618.91 = 207.43/x
  3. Step 3: Cross multiply
    413.03x = 618.91 × 207.43
  4. Step 4: Simplify right side
    413.03x = 128,378.44
  5. Step 5: Solve for x
    x = 128,378.44/413.03
  6. Step 6: Final answer
    x = 310.82

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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.