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Finding the Fourth Proportional to 429.40, 644.14 and 234.56

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Solution

The fourth proportional to 429.40, 644.14 and 234.56 is: 351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.40 : 644.14 = 234.56 : x
  2. Step 2: Convert to fraction form
    429.40/644.14 = 234.56/x
  3. Step 3: Cross multiply
    429.40x = 644.14 × 234.56
  4. Step 4: Simplify right side
    429.40x = 151,089.48
  5. Step 5: Solve for x
    x = 151,089.48/429.40
  6. Step 6: Final answer
    x = 351.86

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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.