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Finding the Fourth Proportional to 471.20, 650.04 and 313.92

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Solution

The fourth proportional to 471.20, 650.04 and 313.92 is: 433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.20 : 650.04 = 313.92 : x
  2. Step 2: Convert to fraction form
    471.20/650.04 = 313.92/x
  3. Step 3: Cross multiply
    471.20x = 650.04 × 313.92
  4. Step 4: Simplify right side
    471.20x = 204,060.56
  5. Step 5: Solve for x
    x = 204,060.56/471.20
  6. Step 6: Final answer
    x = 433.07

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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.