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Finding the Fourth Proportional to 531.72, 796.84 and 257.26

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Solution

The fourth proportional to 531.72, 796.84 and 257.26 is: 385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.72 : 796.84 = 257.26 : x
  2. Step 2: Convert to fraction form
    531.72/796.84 = 257.26/x
  3. Step 3: Cross multiply
    531.72x = 796.84 × 257.26
  4. Step 4: Simplify right side
    531.72x = 204,995.06
  5. Step 5: Solve for x
    x = 204,995.06/531.72
  6. Step 6: Final answer
    x = 385.53

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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.