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Finding the Fourth Proportional to 659.72, 989.34 and 226.76

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Solution

The fourth proportional to 659.72, 989.34 and 226.76 is: 340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.72 : 989.34 = 226.76 : x
  2. Step 2: Convert to fraction form
    659.72/989.34 = 226.76/x
  3. Step 3: Cross multiply
    659.72x = 989.34 × 226.76
  4. Step 4: Simplify right side
    659.72x = 224,342.74
  5. Step 5: Solve for x
    x = 224,342.74/659.72
  6. Step 6: Final answer
    x = 340.06

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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.