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Finding the Fourth Proportional to 471.27, 650.49 and 314.13

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Solution

The fourth proportional to 471.27, 650.49 and 314.13 is: 433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.27 : 650.49 = 314.13 : x
  2. Step 2: Convert to fraction form
    471.27/650.49 = 314.13/x
  3. Step 3: Cross multiply
    471.27x = 650.49 × 314.13
  4. Step 4: Simplify right side
    471.27x = 204,338.42
  5. Step 5: Solve for x
    x = 204,338.42/471.27
  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.