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Finding the Fourth Proportional to 531.38, 796.77 and 184.54

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Solution

The fourth proportional to 531.38, 796.77 and 184.54 is: 276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.38 : 796.77 = 184.54 : x
  2. Step 2: Convert to fraction form
    531.38/796.77 = 184.54/x
  3. Step 3: Cross multiply
    531.38x = 796.77 × 184.54
  4. Step 4: Simplify right side
    531.38x = 147,035.94
  5. Step 5: Solve for x
    x = 147,035.94/531.38
  6. Step 6: Final answer
    x = 276.71

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Why These Related Problems?

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