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Finding the Fourth Proportional to 656.80, 984.96 and 223.88

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Solution

The fourth proportional to 656.80, 984.96 and 223.88 is: 335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.80 : 984.96 = 223.88 : x
  2. Step 2: Convert to fraction form
    656.80/984.96 = 223.88/x
  3. Step 3: Cross multiply
    656.80x = 984.96 × 223.88
  4. Step 4: Simplify right side
    656.80x = 220,512.84
  5. Step 5: Solve for x
    x = 220,512.84/656.80
  6. Step 6: Final answer
    x = 335.74

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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.