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Finding the Fourth Proportional to 531.82, 796.49 and 271.00

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Solution

The fourth proportional to 531.82, 796.49 and 271.00 is: 405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.82 : 796.49 = 271.00 : x
  2. Step 2: Convert to fraction form
    531.82/796.49 = 271.00/x
  3. Step 3: Cross multiply
    531.82x = 796.49 × 271.00
  4. Step 4: Simplify right side
    531.82x = 215,843.45
  5. Step 5: Solve for x
    x = 215,843.45/531.82
  6. Step 6: Final answer
    x = 405.86

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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.