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Finding the Fourth Proportional to 300.96, 415.11 and 235.32

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Solution

The fourth proportional to 300.96, 415.11 and 235.32 is: 324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.96 : 415.11 = 235.32 : x
  2. Step 2: Convert to fraction form
    300.96/415.11 = 235.32/x
  3. Step 3: Cross multiply
    300.96x = 415.11 × 235.32
  4. Step 4: Simplify right side
    300.96x = 97,683.69
  5. Step 5: Solve for x
    x = 97,683.69/300.96
  6. Step 6: Final answer
    x = 324.57

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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.