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Finding the Fourth Proportional to 431.53, 648.29 and 249.37

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Solution

The fourth proportional to 431.53, 648.29 and 249.37 is: 374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.53 : 648.29 = 249.37 : x
  2. Step 2: Convert to fraction form
    431.53/648.29 = 249.37/x
  3. Step 3: Cross multiply
    431.53x = 648.29 × 249.37
  4. Step 4: Simplify right side
    431.53x = 161,664.08
  5. Step 5: Solve for x
    x = 161,664.08/431.53
  6. Step 6: Final answer
    x = 374.63

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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.