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Finding the Fourth Proportional to 363.27, 544.82 and 305.54

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Solution

The fourth proportional to 363.27, 544.82 and 305.54 is: 458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.27 : 544.82 = 305.54 : x
  2. Step 2: Convert to fraction form
    363.27/544.82 = 305.54/x
  3. Step 3: Cross multiply
    363.27x = 544.82 × 305.54
  4. Step 4: Simplify right side
    363.27x = 166,460.05
  5. Step 5: Solve for x
    x = 166,460.05/363.27
  6. Step 6: Final answer
    x = 458.23

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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.