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Finding the Fourth Proportional to 613.75, 920.39 and 223.67

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Solution

The fourth proportional to 613.75, 920.39 and 223.67 is: 335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.75 : 920.39 = 223.67 : x
  2. Step 2: Convert to fraction form
    613.75/920.39 = 223.67/x
  3. Step 3: Cross multiply
    613.75x = 920.39 × 223.67
  4. Step 4: Simplify right side
    613.75x = 205,863.63
  5. Step 5: Solve for x
    x = 205,863.63/613.75
  6. Step 6: Final answer
    x = 335.42

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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.