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Finding the Fourth Proportional to 435.44, 652.40 and 229.52

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Solution

The fourth proportional to 435.44, 652.40 and 229.52 is: 343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.44 : 652.40 = 229.52 : x
  2. Step 2: Convert to fraction form
    435.44/652.40 = 229.52/x
  3. Step 3: Cross multiply
    435.44x = 652.40 × 229.52
  4. Step 4: Simplify right side
    435.44x = 149,738.85
  5. Step 5: Solve for x
    x = 149,738.85/435.44
  6. Step 6: Final answer
    x = 343.88

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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.