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Finding the Fourth Proportional to 471.60, 650.87 and 306.30

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Solution

The fourth proportional to 471.60, 650.87 and 306.30 is: 422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.60 : 650.87 = 306.30 : x
  2. Step 2: Convert to fraction form
    471.60/650.87 = 306.30/x
  3. Step 3: Cross multiply
    471.60x = 650.87 × 306.30
  4. Step 4: Simplify right side
    471.60x = 199,361.48
  5. Step 5: Solve for x
    x = 199,361.48/471.60
  6. Step 6: Final answer
    x = 422.73

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Why These Related Problems?

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