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Finding the Fourth Proportional to 471.74, 650.82 and 306.05

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Solution

The fourth proportional to 471.74, 650.82 and 306.05 is: 422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.74 : 650.82 = 306.05 : x
  2. Step 2: Convert to fraction form
    471.74/650.82 = 306.05/x
  3. Step 3: Cross multiply
    471.74x = 650.82 × 306.05
  4. Step 4: Simplify right side
    471.74x = 199,180.21
  5. Step 5: Solve for x
    x = 199,180.21/471.74
  6. Step 6: Final answer
    x = 422.23

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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.