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Finding the Fourth Proportional to 419.71, 579.19 and 233.21

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Solution

The fourth proportional to 419.71, 579.19 and 233.21 is: 321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.71 : 579.19 = 233.21 : x
  2. Step 2: Convert to fraction form
    419.71/579.19 = 233.21/x
  3. Step 3: Cross multiply
    419.71x = 579.19 × 233.21
  4. Step 4: Simplify right side
    419.71x = 135,072.90
  5. Step 5: Solve for x
    x = 135,072.90/419.71
  6. Step 6: Final answer
    x = 321.82

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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.