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Finding the Fourth Proportional to 316.67, 475.15 and 219.32

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Solution

The fourth proportional to 316.67, 475.15 and 219.32 is: 329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.67 : 475.15 = 219.32 : x
  2. Step 2: Convert to fraction form
    316.67/475.15 = 219.32/x
  3. Step 3: Cross multiply
    316.67x = 475.15 × 219.32
  4. Step 4: Simplify right side
    316.67x = 104,206.97
  5. Step 5: Solve for x
    x = 104,206.97/316.67
  6. Step 6: Final answer
    x = 329.08

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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.