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Finding the Fourth Proportional to 394.12, 590.20 and 302.08

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Solution

The fourth proportional to 394.12, 590.20 and 302.08 is: 452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.12 : 590.20 = 302.08 : x
  2. Step 2: Convert to fraction form
    394.12/590.20 = 302.08/x
  3. Step 3: Cross multiply
    394.12x = 590.20 × 302.08
  4. Step 4: Simplify right side
    394.12x = 178,287.62
  5. Step 5: Solve for x
    x = 178,287.62/394.12
  6. Step 6: Final answer
    x = 452.37

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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.