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Finding the Fourth Proportional to 304.24, 419.96 and 238.84

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Solution

The fourth proportional to 304.24, 419.96 and 238.84 is: 329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.24 : 419.96 = 238.84 : x
  2. Step 2: Convert to fraction form
    304.24/419.96 = 238.84/x
  3. Step 3: Cross multiply
    304.24x = 419.96 × 238.84
  4. Step 4: Simplify right side
    304.24x = 100,303.25
  5. Step 5: Solve for x
    x = 100,303.25/304.24
  6. Step 6: Final answer
    x = 329.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.