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Finding the Fourth Proportional to 329.96, 496.70 and 300.20

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Solution

The fourth proportional to 329.96, 496.70 and 300.20 is: 451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 496.70 = 300.20 : x
  2. Step 2: Convert to fraction form
    329.96/496.70 = 300.20/x
  3. Step 3: Cross multiply
    329.96x = 496.70 × 300.20
  4. Step 4: Simplify right side
    329.96x = 149,109.34
  5. Step 5: Solve for x
    x = 149,109.34/329.96
  6. Step 6: Final answer
    x = 451.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.