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Finding the Fourth Proportional to 531.16, 796.96 and 336.38

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Solution

The fourth proportional to 531.16, 796.96 and 336.38 is: 504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.16 : 796.96 = 336.38 : x
  2. Step 2: Convert to fraction form
    531.16/796.96 = 336.38/x
  3. Step 3: Cross multiply
    531.16x = 796.96 × 336.38
  4. Step 4: Simplify right side
    531.16x = 268,081.03
  5. Step 5: Solve for x
    x = 268,081.03/531.16
  6. Step 6: Final answer
    x = 504.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.