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Finding the Fourth Proportional to 471.68, 650.92 and 261.88

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Solution

The fourth proportional to 471.68, 650.92 and 261.88 is: 361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.68 : 650.92 = 261.88 : x
  2. Step 2: Convert to fraction form
    471.68/650.92 = 261.88/x
  3. Step 3: Cross multiply
    471.68x = 650.92 × 261.88
  4. Step 4: Simplify right side
    471.68x = 170,462.93
  5. Step 5: Solve for x
    x = 170,462.93/471.68
  6. Step 6: Final answer
    x = 361.40

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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.