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Finding the Fourth Proportional to 429.41, 644.01 and 155.50

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Solution

The fourth proportional to 429.41, 644.01 and 155.50 is: 233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.41 : 644.01 = 155.50 : x
  2. Step 2: Convert to fraction form
    429.41/644.01 = 155.50/x
  3. Step 3: Cross multiply
    429.41x = 644.01 × 155.50
  4. Step 4: Simplify right side
    429.41x = 100,143.56
  5. Step 5: Solve for x
    x = 100,143.56/429.41
  6. Step 6: Final answer
    x = 233.21

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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.