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Finding the Fourth Proportional to 402.82, 552.02 and 363.94

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Solution

The fourth proportional to 402.82, 552.02 and 363.94 is: 498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.82 : 552.02 = 363.94 : x
  2. Step 2: Convert to fraction form
    402.82/552.02 = 363.94/x
  3. Step 3: Cross multiply
    402.82x = 552.02 × 363.94
  4. Step 4: Simplify right side
    402.82x = 200,902.16
  5. Step 5: Solve for x
    x = 200,902.16/402.82
  6. Step 6: Final answer
    x = 498.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.