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Finding the Fourth Proportional to 398.26, 596.90 and 254.02

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Solution

The fourth proportional to 398.26, 596.90 and 254.02 is: 380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.26 : 596.90 = 254.02 : x
  2. Step 2: Convert to fraction form
    398.26/596.90 = 254.02/x
  3. Step 3: Cross multiply
    398.26x = 596.90 × 254.02
  4. Step 4: Simplify right side
    398.26x = 151,624.54
  5. Step 5: Solve for x
    x = 151,624.54/398.26
  6. Step 6: Final answer
    x = 380.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.