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Finding the Fourth Proportional to 531.87, 796.26 and 325.82

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Solution

The fourth proportional to 531.87, 796.26 and 325.82 is: 487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.87 : 796.26 = 325.82 : x
  2. Step 2: Convert to fraction form
    531.87/796.26 = 325.82/x
  3. Step 3: Cross multiply
    531.87x = 796.26 × 325.82
  4. Step 4: Simplify right side
    531.87x = 259,433.45
  5. Step 5: Solve for x
    x = 259,433.45/531.87
  6. Step 6: Final answer
    x = 487.78

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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.