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Finding the Fourth Proportional to 644.98, 966.81 and 336.67

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Solution

The fourth proportional to 644.98, 966.81 and 336.67 is: 504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.98 : 966.81 = 336.67 : x
  2. Step 2: Convert to fraction form
    644.98/966.81 = 336.67/x
  3. Step 3: Cross multiply
    644.98x = 966.81 × 336.67
  4. Step 4: Simplify right side
    644.98x = 325,495.92
  5. Step 5: Solve for x
    x = 325,495.92/644.98
  6. Step 6: Final answer
    x = 504.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.