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Finding the Fourth Proportional to 316.55, 473.74 and 219.08

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Solution

The fourth proportional to 316.55, 473.74 and 219.08 is: 327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.55 : 473.74 = 219.08 : x
  2. Step 2: Convert to fraction form
    316.55/473.74 = 219.08/x
  3. Step 3: Cross multiply
    316.55x = 473.74 × 219.08
  4. Step 4: Simplify right side
    316.55x = 103,786.96
  5. Step 5: Solve for x
    x = 103,786.96/316.55
  6. Step 6: Final answer
    x = 327.87

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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.