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Finding the Fourth Proportional to 714.92, 1,072.31 and 228.29

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Solution

The fourth proportional to 714.92, 1,072.31 and 228.29 is: 342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.92 : 1,072.31 = 228.29 : x
  2. Step 2: Convert to fraction form
    714.92/1,072.31 = 228.29/x
  3. Step 3: Cross multiply
    714.92x = 1,072.31 × 228.29
  4. Step 4: Simplify right side
    714.92x = 244,791.15
  5. Step 5: Solve for x
    x = 244,791.15/714.92
  6. Step 6: Final answer
    x = 342.41

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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.