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Finding the Fourth Proportional to 363.56, 502.02 and 343.08

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Solution

The fourth proportional to 363.56, 502.02 and 343.08 is: 473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.56 : 502.02 = 343.08 : x
  2. Step 2: Convert to fraction form
    363.56/502.02 = 343.08/x
  3. Step 3: Cross multiply
    363.56x = 502.02 × 343.08
  4. Step 4: Simplify right side
    363.56x = 172,233.02
  5. Step 5: Solve for x
    x = 172,233.02/363.56
  6. Step 6: Final answer
    x = 473.75

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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.