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Finding the Fourth Proportional to 307.70, 424.37 and 237.78

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Solution

The fourth proportional to 307.70, 424.37 and 237.78 is: 327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.70 : 424.37 = 237.78 : x
  2. Step 2: Convert to fraction form
    307.70/424.37 = 237.78/x
  3. Step 3: Cross multiply
    307.70x = 424.37 × 237.78
  4. Step 4: Simplify right side
    307.70x = 100,906.70
  5. Step 5: Solve for x
    x = 100,906.70/307.70
  6. Step 6: Final answer
    x = 327.94

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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.