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Finding the Fourth Proportional to 363.63, 501.68 and 326.22

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Solution

The fourth proportional to 363.63, 501.68 and 326.22 is: 450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.63 : 501.68 = 326.22 : x
  2. Step 2: Convert to fraction form
    363.63/501.68 = 326.22/x
  3. Step 3: Cross multiply
    363.63x = 501.68 × 326.22
  4. Step 4: Simplify right side
    363.63x = 163,656.42
  5. Step 5: Solve for x
    x = 163,656.42/363.63
  6. Step 6: Final answer
    x = 450.06

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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.