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Finding the Fourth Proportional to 363.91, 546.09 and 242.26

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Solution

The fourth proportional to 363.91, 546.09 and 242.26 is: 363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.91 : 546.09 = 242.26 : x
  2. Step 2: Convert to fraction form
    363.91/546.09 = 242.26/x
  3. Step 3: Cross multiply
    363.91x = 546.09 × 242.26
  4. Step 4: Simplify right side
    363.91x = 132,294.85
  5. Step 5: Solve for x
    x = 132,294.85/363.91
  6. Step 6: Final answer
    x = 363.54

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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.