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Finding the Fourth Proportional to 304.32, 419.94 and 238.98

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Solution

The fourth proportional to 304.32, 419.94 and 238.98 is: 329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.32 : 419.94 = 238.98 : x
  2. Step 2: Convert to fraction form
    304.32/419.94 = 238.98/x
  3. Step 3: Cross multiply
    304.32x = 419.94 × 238.98
  4. Step 4: Simplify right side
    304.32x = 100,357.26
  5. Step 5: Solve for x
    x = 100,357.26/304.32
  6. Step 6: Final answer
    x = 329.78

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Why These Related Problems?

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