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Finding the Fourth Proportional to 413.70, 621.89 and 383.62

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Solution

The fourth proportional to 413.70, 621.89 and 383.62 is: 576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.70 : 621.89 = 383.62 : x
  2. Step 2: Convert to fraction form
    413.70/621.89 = 383.62/x
  3. Step 3: Cross multiply
    413.70x = 621.89 × 383.62
  4. Step 4: Simplify right side
    413.70x = 238,569.44
  5. Step 5: Solve for x
    x = 238,569.44/413.70
  6. Step 6: Final answer
    x = 576.67

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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.