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Finding the Fourth Proportional to 659.67, 989.61 and 197.40

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Solution

The fourth proportional to 659.67, 989.61 and 197.40 is: 296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.67 : 989.61 = 197.40 : x
  2. Step 2: Convert to fraction form
    659.67/989.61 = 197.40/x
  3. Step 3: Cross multiply
    659.67x = 989.61 × 197.40
  4. Step 4: Simplify right side
    659.67x = 195,348.27
  5. Step 5: Solve for x
    x = 195,348.27/659.67
  6. Step 6: Final answer
    x = 296.13

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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.