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Finding the Fourth Proportional to 656.50, 984.75 and 223.66

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Solution

The fourth proportional to 656.50, 984.75 and 223.66 is: 335.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.50 : 984.75 = 223.66 : x
  2. Step 2: Convert to fraction form
    656.50/984.75 = 223.66/x
  3. Step 3: Cross multiply
    656.50x = 984.75 × 223.66
  4. Step 4: Simplify right side
    656.50x = 220,249.19
  5. Step 5: Solve for x
    x = 220,249.19/656.50
  6. Step 6: Final answer
    x = 335.49

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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.