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Finding the Fourth Proportional to 306.33, 458.48 and 219.39

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Solution

The fourth proportional to 306.33, 458.48 and 219.39 is: 328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.33 : 458.48 = 219.39 : x
  2. Step 2: Convert to fraction form
    306.33/458.48 = 219.39/x
  3. Step 3: Cross multiply
    306.33x = 458.48 × 219.39
  4. Step 4: Simplify right side
    306.33x = 100,584.83
  5. Step 5: Solve for x
    x = 100,584.83/306.33
  6. Step 6: Final answer
    x = 328.35

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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.