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Finding the Fourth Proportional to 413.46, 620.46 and 230.67

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Solution

The fourth proportional to 413.46, 620.46 and 230.67 is: 346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.46 : 620.46 = 230.67 : x
  2. Step 2: Convert to fraction form
    413.46/620.46 = 230.67/x
  3. Step 3: Cross multiply
    413.46x = 620.46 × 230.67
  4. Step 4: Simplify right side
    413.46x = 143,121.51
  5. Step 5: Solve for x
    x = 143,121.51/413.46
  6. Step 6: Final answer
    x = 346.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.