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Finding the Fourth Proportional to 420.26, 579.83 and 254.42

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Solution

The fourth proportional to 420.26, 579.83 and 254.42 is: 351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.26 : 579.83 = 254.42 : x
  2. Step 2: Convert to fraction form
    420.26/579.83 = 254.42/x
  3. Step 3: Cross multiply
    420.26x = 579.83 × 254.42
  4. Step 4: Simplify right side
    420.26x = 147,519.08
  5. Step 5: Solve for x
    x = 147,519.08/420.26
  6. Step 6: Final answer
    x = 351.02

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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.