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Finding the Fourth Proportional to 419.76, 579.21 and 233.23

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Solution

The fourth proportional to 419.76, 579.21 and 233.23 is: 321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 579.21 = 233.23 : x
  2. Step 2: Convert to fraction form
    419.76/579.21 = 233.23/x
  3. Step 3: Cross multiply
    419.76x = 579.21 × 233.23
  4. Step 4: Simplify right side
    419.76x = 135,089.15
  5. Step 5: Solve for x
    x = 135,089.15/419.76
  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.