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Finding the Fourth Proportional to 659.72, 989.60 and 227.18

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Solution

The fourth proportional to 659.72, 989.60 and 227.18 is: 340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.72 : 989.60 = 227.18 : x
  2. Step 2: Convert to fraction form
    659.72/989.60 = 227.18/x
  3. Step 3: Cross multiply
    659.72x = 989.60 × 227.18
  4. Step 4: Simplify right side
    659.72x = 224,818.67
  5. Step 5: Solve for x
    x = 224,818.67/659.72
  6. Step 6: Final answer
    x = 340.78

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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.