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Finding the Fourth Proportional to 429.37, 644.02 and 140.78

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Solution

The fourth proportional to 429.37, 644.02 and 140.78 is: 211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.37 : 644.02 = 140.78 : x
  2. Step 2: Convert to fraction form
    429.37/644.02 = 140.78/x
  3. Step 3: Cross multiply
    429.37x = 644.02 × 140.78
  4. Step 4: Simplify right side
    429.37x = 90,665.14
  5. Step 5: Solve for x
    x = 90,665.14/429.37
  6. Step 6: Final answer
    x = 211.16

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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.