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Finding the Fourth Proportional to 435.34, 652.56 and 229.78

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Solution

The fourth proportional to 435.34, 652.56 and 229.78 is: 344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.34 : 652.56 = 229.78 : x
  2. Step 2: Convert to fraction form
    435.34/652.56 = 229.78/x
  3. Step 3: Cross multiply
    435.34x = 652.56 × 229.78
  4. Step 4: Simplify right side
    435.34x = 149,945.24
  5. Step 5: Solve for x
    x = 149,945.24/435.34
  6. Step 6: Final answer
    x = 344.43

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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.