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Finding the Fourth Proportional to 471.20, 650.46 and 314.10

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Solution

The fourth proportional to 471.20, 650.46 and 314.10 is: 433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.20 : 650.46 = 314.10 : x
  2. Step 2: Convert to fraction form
    471.20/650.46 = 314.10/x
  3. Step 3: Cross multiply
    471.20x = 650.46 × 314.10
  4. Step 4: Simplify right side
    471.20x = 204,309.49
  5. Step 5: Solve for x
    x = 204,309.49/471.20
  6. Step 6: Final answer
    x = 433.59

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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.