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Finding the Fourth Proportional to 397.98, 597.16 and 205.61

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Solution

The fourth proportional to 397.98, 597.16 and 205.61 is: 308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.98 : 597.16 = 205.61 : x
  2. Step 2: Convert to fraction form
    397.98/597.16 = 205.61/x
  3. Step 3: Cross multiply
    397.98x = 597.16 × 205.61
  4. Step 4: Simplify right side
    397.98x = 122,779.34
  5. Step 5: Solve for x
    x = 122,779.34/397.98
  6. Step 6: Final answer
    x = 308.51

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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.