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Finding the Fourth Proportional to 395.23, 588.19 and 380.65

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Solution

The fourth proportional to 395.23, 588.19 and 380.65 is: 566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.23 : 588.19 = 380.65 : x
  2. Step 2: Convert to fraction form
    395.23/588.19 = 380.65/x
  3. Step 3: Cross multiply
    395.23x = 588.19 × 380.65
  4. Step 4: Simplify right side
    395.23x = 223,892.85
  5. Step 5: Solve for x
    x = 223,892.85/395.23
  6. Step 6: Final answer
    x = 566.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.