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Finding the Fourth Proportional to 316.81, 475.21 and 276.31

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Solution

The fourth proportional to 316.81, 475.21 and 276.31 is: 414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.81 : 475.21 = 276.31 : x
  2. Step 2: Convert to fraction form
    316.81/475.21 = 276.31/x
  3. Step 3: Cross multiply
    316.81x = 475.21 × 276.31
  4. Step 4: Simplify right side
    316.81x = 131,302.90
  5. Step 5: Solve for x
    x = 131,302.90/316.81
  6. Step 6: Final answer
    x = 414.46

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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.