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Finding the Fourth Proportional to 471.73, 650.96 and 261.90

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Solution

The fourth proportional to 471.73, 650.96 and 261.90 is: 361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.73 : 650.96 = 261.90 : x
  2. Step 2: Convert to fraction form
    471.73/650.96 = 261.90/x
  3. Step 3: Cross multiply
    471.73x = 650.96 × 261.90
  4. Step 4: Simplify right side
    471.73x = 170,486.42
  5. Step 5: Solve for x
    x = 170,486.42/471.73
  6. Step 6: Final answer
    x = 361.41

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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.