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Finding the Fourth Proportional to 419.83, 579.33 and 233.31

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Solution

The fourth proportional to 419.83, 579.33 and 233.31 is: 321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.83 : 579.33 = 233.31 : x
  2. Step 2: Convert to fraction form
    419.83/579.33 = 233.31/x
  3. Step 3: Cross multiply
    419.83x = 579.33 × 233.31
  4. Step 4: Simplify right side
    419.83x = 135,163.48
  5. Step 5: Solve for x
    x = 135,163.48/419.83
  6. Step 6: Final answer
    x = 321.95

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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.