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Finding the Fourth Proportional to 377.05, 565.38 and 223.02

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Solution

The fourth proportional to 377.05, 565.38 and 223.02 is: 334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.05 : 565.38 = 223.02 : x
  2. Step 2: Convert to fraction form
    377.05/565.38 = 223.02/x
  3. Step 3: Cross multiply
    377.05x = 565.38 × 223.02
  4. Step 4: Simplify right side
    377.05x = 126,087.11
  5. Step 5: Solve for x
    x = 126,087.11/377.05
  6. Step 6: Final answer
    x = 334.41

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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.