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Finding the Fourth Proportional to 398.19, 596.57 and 205.23

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Solution

The fourth proportional to 398.19, 596.57 and 205.23 is: 307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.19 : 596.57 = 205.23 : x
  2. Step 2: Convert to fraction form
    398.19/596.57 = 205.23/x
  3. Step 3: Cross multiply
    398.19x = 596.57 × 205.23
  4. Step 4: Simplify right side
    398.19x = 122,433.03
  5. Step 5: Solve for x
    x = 122,433.03/398.19
  6. Step 6: Final answer
    x = 307.47

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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.