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Finding the Fourth Proportional to 413.16, 622.77 and 387.72

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Solution

The fourth proportional to 413.16, 622.77 and 387.72 is: 584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.16 : 622.77 = 387.72 : x
  2. Step 2: Convert to fraction form
    413.16/622.77 = 387.72/x
  3. Step 3: Cross multiply
    413.16x = 622.77 × 387.72
  4. Step 4: Simplify right side
    413.16x = 241,460.38
  5. Step 5: Solve for x
    x = 241,460.38/413.16
  6. Step 6: Final answer
    x = 584.42

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