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Finding the Fourth Proportional to 363.60, 502.34 and 334.44

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Solution

The fourth proportional to 363.60, 502.34 and 334.44 is: 462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.60 : 502.34 = 334.44 : x
  2. Step 2: Convert to fraction form
    363.60/502.34 = 334.44/x
  3. Step 3: Cross multiply
    363.60x = 502.34 × 334.44
  4. Step 4: Simplify right side
    363.60x = 168,000.92
  5. Step 5: Solve for x
    x = 168,000.92/363.60
  6. Step 6: Final answer
    x = 462.05

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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.