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Finding the Fourth Proportional to 363.51, 501.93 and 232.74

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Solution

The fourth proportional to 363.51, 501.93 and 232.74 is: 321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.51 : 501.93 = 232.74 : x
  2. Step 2: Convert to fraction form
    363.51/501.93 = 232.74/x
  3. Step 3: Cross multiply
    363.51x = 501.93 × 232.74
  4. Step 4: Simplify right side
    363.51x = 116,819.19
  5. Step 5: Solve for x
    x = 116,819.19/363.51
  6. Step 6: Final answer
    x = 321.36

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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.