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Finding the Fourth Proportional to 429.34, 644.07 and 140.78

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Solution

The fourth proportional to 429.34, 644.07 and 140.78 is: 211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.34 : 644.07 = 140.78 : x
  2. Step 2: Convert to fraction form
    429.34/644.07 = 140.78/x
  3. Step 3: Cross multiply
    429.34x = 644.07 × 140.78
  4. Step 4: Simplify right side
    429.34x = 90,672.17
  5. Step 5: Solve for x
    x = 90,672.17/429.34
  6. Step 6: Final answer
    x = 211.19

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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.