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Finding the Fourth Proportional to 471.48, 650.61 and 261.66

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Solution

The fourth proportional to 471.48, 650.61 and 261.66 is: 361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.48 : 650.61 = 261.66 : x
  2. Step 2: Convert to fraction form
    471.48/650.61 = 261.66/x
  3. Step 3: Cross multiply
    471.48x = 650.61 × 261.66
  4. Step 4: Simplify right side
    471.48x = 170,238.61
  5. Step 5: Solve for x
    x = 170,238.61/471.48
  6. Step 6: Final answer
    x = 361.07

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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.