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Finding the Fourth Proportional to 377.28, 566.16 and 223.28

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Solution

The fourth proportional to 377.28, 566.16 and 223.28 is: 335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.28 : 566.16 = 223.28 : x
  2. Step 2: Convert to fraction form
    377.28/566.16 = 223.28/x
  3. Step 3: Cross multiply
    377.28x = 566.16 × 223.28
  4. Step 4: Simplify right side
    377.28x = 126,412.20
  5. Step 5: Solve for x
    x = 126,412.20/377.28
  6. Step 6: Final answer
    x = 335.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.