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Finding the Fourth Proportional to 398.28, 597.42 and 205.50

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Solution

The fourth proportional to 398.28, 597.42 and 205.50 is: 308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.28 : 597.42 = 205.50 : x
  2. Step 2: Convert to fraction form
    398.28/597.42 = 205.50/x
  3. Step 3: Cross multiply
    398.28x = 597.42 × 205.50
  4. Step 4: Simplify right side
    398.28x = 122,769.81
  5. Step 5: Solve for x
    x = 122,769.81/398.28
  6. Step 6: Final answer
    x = 308.25

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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.