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Finding the Fourth Proportional to 662.99, 993.89 and 252.14

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Solution

The fourth proportional to 662.99, 993.89 and 252.14 is: 377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.99 : 993.89 = 252.14 : x
  2. Step 2: Convert to fraction form
    662.99/993.89 = 252.14/x
  3. Step 3: Cross multiply
    662.99x = 993.89 × 252.14
  4. Step 4: Simplify right side
    662.99x = 250,595.09
  5. Step 5: Solve for x
    x = 250,595.09/662.99
  6. Step 6: Final answer
    x = 377.98

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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.