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Finding the Fourth Proportional to 370.78, 511.31 and 246.38

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Solution

The fourth proportional to 370.78, 511.31 and 246.38 is: 339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.78 : 511.31 = 246.38 : x
  2. Step 2: Convert to fraction form
    370.78/511.31 = 246.38/x
  3. Step 3: Cross multiply
    370.78x = 511.31 × 246.38
  4. Step 4: Simplify right side
    370.78x = 125,974.62
  5. Step 5: Solve for x
    x = 125,974.62/370.78
  6. Step 6: Final answer
    x = 339.76

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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.