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Finding the Fourth Proportional to 413.28, 574.06 and 406.67

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Solution

The fourth proportional to 413.28, 574.06 and 406.67 is: 564.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.28 : 574.06 = 406.67 : x
  2. Step 2: Convert to fraction form
    413.28/574.06 = 406.67/x
  3. Step 3: Cross multiply
    413.28x = 574.06 × 406.67
  4. Step 4: Simplify right side
    413.28x = 233,450.62
  5. Step 5: Solve for x
    x = 233,450.62/413.28
  6. Step 6: Final answer
    x = 564.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.