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Finding the Fourth Proportional to 311.76, 430.41 and 241.68

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Solution

The fourth proportional to 311.76, 430.41 and 241.68 is: 333.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.76 : 430.41 = 241.68 : x
  2. Step 2: Convert to fraction form
    311.76/430.41 = 241.68/x
  3. Step 3: Cross multiply
    311.76x = 430.41 × 241.68
  4. Step 4: Simplify right side
    311.76x = 104,021.49
  5. Step 5: Solve for x
    x = 104,021.49/311.76
  6. Step 6: Final answer
    x = 333.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.