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Finding the Fourth Proportional to 609.60, 914.10 and 219.45

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Solution

The fourth proportional to 609.60, 914.10 and 219.45 is: 329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.60 : 914.10 = 219.45 : x
  2. Step 2: Convert to fraction form
    609.60/914.10 = 219.45/x
  3. Step 3: Cross multiply
    609.60x = 914.10 × 219.45
  4. Step 4: Simplify right side
    609.60x = 200,599.25
  5. Step 5: Solve for x
    x = 200,599.25/609.60
  6. Step 6: Final answer
    x = 329.07

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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.