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Finding the Fourth Proportional to 419.82, 579.34 and 233.31

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Solution

The fourth proportional to 419.82, 579.34 and 233.31 is: 321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.82 : 579.34 = 233.31 : x
  2. Step 2: Convert to fraction form
    419.82/579.34 = 233.31/x
  3. Step 3: Cross multiply
    419.82x = 579.34 × 233.31
  4. Step 4: Simplify right side
    419.82x = 135,165.82
  5. Step 5: Solve for x
    x = 135,165.82/419.82
  6. Step 6: Final answer
    x = 321.96

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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.