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Finding the Fourth Proportional to 397.65, 596.47 and 379.19

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Solution

The fourth proportional to 397.65, 596.47 and 379.19 is: 568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.65 : 596.47 = 379.19 : x
  2. Step 2: Convert to fraction form
    397.65/596.47 = 379.19/x
  3. Step 3: Cross multiply
    397.65x = 596.47 × 379.19
  4. Step 4: Simplify right side
    397.65x = 226,175.46
  5. Step 5: Solve for x
    x = 226,175.46/397.65
  6. Step 6: Final answer
    x = 568.78

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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.