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Finding the Fourth Proportional to 397.30, 596.19 and 205.06

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Solution

The fourth proportional to 397.30, 596.19 and 205.06 is: 307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.30 : 596.19 = 205.06 : x
  2. Step 2: Convert to fraction form
    397.30/596.19 = 205.06/x
  3. Step 3: Cross multiply
    397.30x = 596.19 × 205.06
  4. Step 4: Simplify right side
    397.30x = 122,254.72
  5. Step 5: Solve for x
    x = 122,254.72/397.30
  6. Step 6: Final answer
    x = 307.71

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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.