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Finding the Fourth Proportional to 397.09, 596.55 and 380.69

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Solution

The fourth proportional to 397.09, 596.55 and 380.69 is: 571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.09 : 596.55 = 380.69 : x
  2. Step 2: Convert to fraction form
    397.09/596.55 = 380.69/x
  3. Step 3: Cross multiply
    397.09x = 596.55 × 380.69
  4. Step 4: Simplify right side
    397.09x = 227,100.62
  5. Step 5: Solve for x
    x = 227,100.62/397.09
  6. Step 6: Final answer
    x = 571.91

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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.