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Finding the Fourth Proportional to 662.29, 993.67 and 296.98

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Solution

The fourth proportional to 662.29, 993.67 and 296.98 is: 445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.29 : 993.67 = 296.98 : x
  2. Step 2: Convert to fraction form
    662.29/993.67 = 296.98/x
  3. Step 3: Cross multiply
    662.29x = 993.67 × 296.98
  4. Step 4: Simplify right side
    662.29x = 295,096.89
  5. Step 5: Solve for x
    x = 295,096.89/662.29
  6. Step 6: Final answer
    x = 445.57

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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.