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Finding the Fourth Proportional to 471.66, 650.84 and 261.78

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Solution

The fourth proportional to 471.66, 650.84 and 261.78 is: 361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.66 : 650.84 = 261.78 : x
  2. Step 2: Convert to fraction form
    471.66/650.84 = 261.78/x
  3. Step 3: Cross multiply
    471.66x = 650.84 × 261.78
  4. Step 4: Simplify right side
    471.66x = 170,375.59
  5. Step 5: Solve for x
    x = 170,375.59/471.66
  6. Step 6: Final answer
    x = 361.23

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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.