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Finding the Fourth Proportional to 419.80, 579.29 and 233.27

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Solution

The fourth proportional to 419.80, 579.29 and 233.27 is: 321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.80 : 579.29 = 233.27 : x
  2. Step 2: Convert to fraction form
    419.80/579.29 = 233.27/x
  3. Step 3: Cross multiply
    419.80x = 579.29 × 233.27
  4. Step 4: Simplify right side
    419.80x = 135,133.01
  5. Step 5: Solve for x
    x = 135,133.01/419.80
  6. Step 6: Final answer
    x = 321.90

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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.