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Finding the Fourth Proportional to 377.56, 566.40 and 223.60

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Solution

The fourth proportional to 377.56, 566.40 and 223.60 is: 335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.56 : 566.40 = 223.60 : x
  2. Step 2: Convert to fraction form
    377.56/566.40 = 223.60/x
  3. Step 3: Cross multiply
    377.56x = 566.40 × 223.60
  4. Step 4: Simplify right side
    377.56x = 126,647.04
  5. Step 5: Solve for x
    x = 126,647.04/377.56
  6. Step 6: Final answer
    x = 335.44

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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.