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Finding the Fourth Proportional to 656.53, 984.80 and 223.69

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Solution

The fourth proportional to 656.53, 984.80 and 223.69 is: 335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.53 : 984.80 = 223.69 : x
  2. Step 2: Convert to fraction form
    656.53/984.80 = 223.69/x
  3. Step 3: Cross multiply
    656.53x = 984.80 × 223.69
  4. Step 4: Simplify right side
    656.53x = 220,287.17
  5. Step 5: Solve for x
    x = 220,287.17/656.53
  6. Step 6: Final answer
    x = 335.53

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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.