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Finding the Fourth Proportional to 429.82, 644.16 and 198.67

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Solution

The fourth proportional to 429.82, 644.16 and 198.67 is: 297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.82 : 644.16 = 198.67 : x
  2. Step 2: Convert to fraction form
    429.82/644.16 = 198.67/x
  3. Step 3: Cross multiply
    429.82x = 644.16 × 198.67
  4. Step 4: Simplify right side
    429.82x = 127,975.27
  5. Step 5: Solve for x
    x = 127,975.27/429.82
  6. Step 6: Final answer
    x = 297.74

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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.