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Finding the Fourth Proportional to 314.28, 471.74 and 170.28

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Solution

The fourth proportional to 314.28, 471.74 and 170.28 is: 255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 471.74 = 170.28 : x
  2. Step 2: Convert to fraction form
    314.28/471.74 = 170.28/x
  3. Step 3: Cross multiply
    314.28x = 471.74 × 170.28
  4. Step 4: Simplify right side
    314.28x = 80,327.89
  5. Step 5: Solve for x
    x = 80,327.89/314.28
  6. Step 6: Final answer
    x = 255.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.