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Finding the Fourth Proportional to 398.24, 596.88 and 205.76

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Solution

The fourth proportional to 398.24, 596.88 and 205.76 is: 308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.24 : 596.88 = 205.76 : x
  2. Step 2: Convert to fraction form
    398.24/596.88 = 205.76/x
  3. Step 3: Cross multiply
    398.24x = 596.88 × 205.76
  4. Step 4: Simplify right side
    398.24x = 122,814.03
  5. Step 5: Solve for x
    x = 122,814.03/398.24
  6. Step 6: Final answer
    x = 308.39

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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.