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Finding the Fourth Proportional to 419.97, 579.50 and 254.12

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Solution

The fourth proportional to 419.97, 579.50 and 254.12 is: 350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.97 : 579.50 = 254.12 : x
  2. Step 2: Convert to fraction form
    419.97/579.50 = 254.12/x
  3. Step 3: Cross multiply
    419.97x = 579.50 × 254.12
  4. Step 4: Simplify right side
    419.97x = 147,258.37
  5. Step 5: Solve for x
    x = 147,258.37/419.97
  6. Step 6: Final answer
    x = 350.64

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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.