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Finding the Fourth Proportional to 443.60, 664.15 and 234.89

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Solution

The fourth proportional to 443.60, 664.15 and 234.89 is: 351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.60 : 664.15 = 234.89 : x
  2. Step 2: Convert to fraction form
    443.60/664.15 = 234.89/x
  3. Step 3: Cross multiply
    443.60x = 664.15 × 234.89
  4. Step 4: Simplify right side
    443.60x = 156,003.69
  5. Step 5: Solve for x
    x = 156,003.69/443.60
  6. Step 6: Final answer
    x = 351.67

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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.