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Finding the Fourth Proportional to 471.59, 650.79 and 261.80

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Solution

The fourth proportional to 471.59, 650.79 and 261.80 is: 361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.59 : 650.79 = 261.80 : x
  2. Step 2: Convert to fraction form
    471.59/650.79 = 261.80/x
  3. Step 3: Cross multiply
    471.59x = 650.79 × 261.80
  4. Step 4: Simplify right side
    471.59x = 170,373.57
  5. Step 5: Solve for x
    x = 170,373.57/471.59
  6. Step 6: Final answer
    x = 361.28

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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.