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Finding the Fourth Proportional to 394.11, 590.22 and 306.81

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Solution

The fourth proportional to 394.11, 590.22 and 306.81 is: 459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.11 : 590.22 = 306.81 : x
  2. Step 2: Convert to fraction form
    394.11/590.22 = 306.81/x
  3. Step 3: Cross multiply
    394.11x = 590.22 × 306.81
  4. Step 4: Simplify right side
    394.11x = 181,085.40
  5. Step 5: Solve for x
    x = 181,085.40/394.11
  6. Step 6: Final answer
    x = 459.48

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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.