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Finding the Fourth Proportional to 674.88, 1,012.37 and 236.05

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Solution

The fourth proportional to 674.88, 1,012.37 and 236.05 is: 354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.88 : 1,012.37 = 236.05 : x
  2. Step 2: Convert to fraction form
    674.88/1,012.37 = 236.05/x
  3. Step 3: Cross multiply
    674.88x = 1,012.37 × 236.05
  4. Step 4: Simplify right side
    674.88x = 238,969.94
  5. Step 5: Solve for x
    x = 238,969.94/674.88
  6. Step 6: Final answer
    x = 354.09

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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.