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Finding the Fourth Proportional to 662.14, 992.23 and 453.70

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Solution

The fourth proportional to 662.14, 992.23 and 453.70 is: 679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.14 : 992.23 = 453.70 : x
  2. Step 2: Convert to fraction form
    662.14/992.23 = 453.70/x
  3. Step 3: Cross multiply
    662.14x = 992.23 × 453.70
  4. Step 4: Simplify right side
    662.14x = 450,174.75
  5. Step 5: Solve for x
    x = 450,174.75/662.14
  6. Step 6: Final answer
    x = 679.88

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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.