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Finding the Fourth Proportional to 312.44, 431.51 and 243.33

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Solution

The fourth proportional to 312.44, 431.51 and 243.33 is: 336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.44 : 431.51 = 243.33 : x
  2. Step 2: Convert to fraction form
    312.44/431.51 = 243.33/x
  3. Step 3: Cross multiply
    312.44x = 431.51 × 243.33
  4. Step 4: Simplify right side
    312.44x = 104,998.11
  5. Step 5: Solve for x
    x = 104,998.11/312.44
  6. Step 6: Final answer
    x = 336.06

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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.