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Finding the Fourth Proportional to 471.70, 650.86 and 314.56

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Solution

The fourth proportional to 471.70, 650.86 and 314.56 is: 434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.70 : 650.86 = 314.56 : x
  2. Step 2: Convert to fraction form
    471.70/650.86 = 314.56/x
  3. Step 3: Cross multiply
    471.70x = 650.86 × 314.56
  4. Step 4: Simplify right side
    471.70x = 204,734.52
  5. Step 5: Solve for x
    x = 204,734.52/471.70
  6. Step 6: Final answer
    x = 434.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.