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Finding the Fourth Proportional to 471.39, 650.73 and 314.28

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Solution

The fourth proportional to 471.39, 650.73 and 314.28 is: 433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.39 : 650.73 = 314.28 : x
  2. Step 2: Convert to fraction form
    471.39/650.73 = 314.28/x
  3. Step 3: Cross multiply
    471.39x = 650.73 × 314.28
  4. Step 4: Simplify right side
    471.39x = 204,512.60
  5. Step 5: Solve for x
    x = 204,512.60/471.39
  6. Step 6: Final answer
    x = 433.85

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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.