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Finding the Fourth Proportional to 531.99, 796.92 and 257.26

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Solution

The fourth proportional to 531.99, 796.92 and 257.26 is: 385.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.99 : 796.92 = 257.26 : x
  2. Step 2: Convert to fraction form
    531.99/796.92 = 257.26/x
  3. Step 3: Cross multiply
    531.99x = 796.92 × 257.26
  4. Step 4: Simplify right side
    531.99x = 205,015.64
  5. Step 5: Solve for x
    x = 205,015.64/531.99
  6. Step 6: Final answer
    x = 385.37

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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.