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Finding the Fourth Proportional to 429.57, 644.39 and 137.11

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Solution

The fourth proportional to 429.57, 644.39 and 137.11 is: 205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.57 : 644.39 = 137.11 : x
  2. Step 2: Convert to fraction form
    429.57/644.39 = 137.11/x
  3. Step 3: Cross multiply
    429.57x = 644.39 × 137.11
  4. Step 4: Simplify right side
    429.57x = 88,352.31
  5. Step 5: Solve for x
    x = 88,352.31/429.57
  6. Step 6: Final answer
    x = 205.68

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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.