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Finding the Fourth Proportional to 433.14, 648.24 and 250.26

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Solution

The fourth proportional to 433.14, 648.24 and 250.26 is: 374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.14 : 648.24 = 250.26 : x
  2. Step 2: Convert to fraction form
    433.14/648.24 = 250.26/x
  3. Step 3: Cross multiply
    433.14x = 648.24 × 250.26
  4. Step 4: Simplify right side
    433.14x = 162,228.54
  5. Step 5: Solve for x
    x = 162,228.54/433.14
  6. Step 6: Final answer
    x = 374.54

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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.