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Finding the Fourth Proportional to 419.77, 579.27 and 233.25

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Solution

The fourth proportional to 419.77, 579.27 and 233.25 is: 321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.77 : 579.27 = 233.25 : x
  2. Step 2: Convert to fraction form
    419.77/579.27 = 233.25/x
  3. Step 3: Cross multiply
    419.77x = 579.27 × 233.25
  4. Step 4: Simplify right side
    419.77x = 135,117.99
  5. Step 5: Solve for x
    x = 135,117.99/419.77
  6. Step 6: Final answer
    x = 321.88

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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.