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Finding the Fourth Proportional to 363.54, 501.87 and 232.80

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Solution

The fourth proportional to 363.54, 501.87 and 232.80 is: 321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.54 : 501.87 = 232.80 : x
  2. Step 2: Convert to fraction form
    363.54/501.87 = 232.80/x
  3. Step 3: Cross multiply
    363.54x = 501.87 × 232.80
  4. Step 4: Simplify right side
    363.54x = 116,835.34
  5. Step 5: Solve for x
    x = 116,835.34/363.54
  6. Step 6: Final answer
    x = 321.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.