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Finding the Fourth Proportional to 316.74, 474.06 and 170.28

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Solution

The fourth proportional to 316.74, 474.06 and 170.28 is: 254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.74 : 474.06 = 170.28 : x
  2. Step 2: Convert to fraction form
    316.74/474.06 = 170.28/x
  3. Step 3: Cross multiply
    316.74x = 474.06 × 170.28
  4. Step 4: Simplify right side
    316.74x = 80,722.94
  5. Step 5: Solve for x
    x = 80,722.94/316.74
  6. Step 6: Final answer
    x = 254.86

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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.