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Finding the Fourth Proportional to 435.27, 652.29 and 229.41

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Solution

The fourth proportional to 435.27, 652.29 and 229.41 is: 343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.27 : 652.29 = 229.41 : x
  2. Step 2: Convert to fraction form
    435.27/652.29 = 229.41/x
  3. Step 3: Cross multiply
    435.27x = 652.29 × 229.41
  4. Step 4: Simplify right side
    435.27x = 149,641.85
  5. Step 5: Solve for x
    x = 149,641.85/435.27
  6. Step 6: Final answer
    x = 343.79

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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.