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Finding the Fourth Proportional to 363.78, 501.80 and 232.79

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Solution

The fourth proportional to 363.78, 501.80 and 232.79 is: 321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.78 : 501.80 = 232.79 : x
  2. Step 2: Convert to fraction form
    363.78/501.80 = 232.79/x
  3. Step 3: Cross multiply
    363.78x = 501.80 × 232.79
  4. Step 4: Simplify right side
    363.78x = 116,811.51
  5. Step 5: Solve for x
    x = 116,811.51/363.78
  6. Step 6: Final answer
    x = 321.10

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