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Finding the Fourth Proportional to 413.14, 622.13 and 298.38

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Solution

The fourth proportional to 413.14, 622.13 and 298.38 is: 449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 622.13 = 298.38 : x
  2. Step 2: Convert to fraction form
    413.14/622.13 = 298.38/x
  3. Step 3: Cross multiply
    413.14x = 622.13 × 298.38
  4. Step 4: Simplify right side
    413.14x = 185,631.15
  5. Step 5: Solve for x
    x = 185,631.15/413.14
  6. Step 6: Final answer
    x = 449.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.