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Finding the Fourth Proportional to 310.45, 428.43 and 170.57

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Solution

The fourth proportional to 310.45, 428.43 and 170.57 is: 235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.45 : 428.43 = 170.57 : x
  2. Step 2: Convert to fraction form
    310.45/428.43 = 170.57/x
  3. Step 3: Cross multiply
    310.45x = 428.43 × 170.57
  4. Step 4: Simplify right side
    310.45x = 73,076.01
  5. Step 5: Solve for x
    x = 73,076.01/310.45
  6. Step 6: Final answer
    x = 235.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.