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Finding the Fourth Proportional to 429.26, 644.00 and 234.20

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Solution

The fourth proportional to 429.26, 644.00 and 234.20 is: 351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.26 : 644.00 = 234.20 : x
  2. Step 2: Convert to fraction form
    429.26/644.00 = 234.20/x
  3. Step 3: Cross multiply
    429.26x = 644.00 × 234.20
  4. Step 4: Simplify right side
    429.26x = 150,825.24
  5. Step 5: Solve for x
    x = 150,825.24/429.26
  6. Step 6: Final answer
    x = 351.37

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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.