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Finding the Fourth Proportional to 659.44, 989.31 and 197.23

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Solution

The fourth proportional to 659.44, 989.31 and 197.23 is: 295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.44 : 989.31 = 197.23 : x
  2. Step 2: Convert to fraction form
    659.44/989.31 = 197.23/x
  3. Step 3: Cross multiply
    659.44x = 989.31 × 197.23
  4. Step 4: Simplify right side
    659.44x = 195,121.61
  5. Step 5: Solve for x
    x = 195,121.61/659.44
  6. Step 6: Final answer
    x = 295.89

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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.