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Finding the Fourth Proportional to 471.50, 650.62 and 261.62

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Solution

The fourth proportional to 471.50, 650.62 and 261.62 is: 361.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.50 : 650.62 = 261.62 : x
  2. Step 2: Convert to fraction form
    471.50/650.62 = 261.62/x
  3. Step 3: Cross multiply
    471.50x = 650.62 × 261.62
  4. Step 4: Simplify right side
    471.50x = 170,218.38
  5. Step 5: Solve for x
    x = 170,218.38/471.50
  6. Step 6: Final answer
    x = 361.01

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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.