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Finding the Fourth Proportional to 363.96, 545.82 and 235.56

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Solution

The fourth proportional to 363.96, 545.82 and 235.56 is: 353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.96 : 545.82 = 235.56 : x
  2. Step 2: Convert to fraction form
    363.96/545.82 = 235.56/x
  3. Step 3: Cross multiply
    363.96x = 545.82 × 235.56
  4. Step 4: Simplify right side
    363.96x = 128,573.36
  5. Step 5: Solve for x
    x = 128,573.36/363.96
  6. Step 6: Final answer
    x = 353.26

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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.