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Finding the Fourth Proportional to 674.82, 1,012.31 and 236.16

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Solution

The fourth proportional to 674.82, 1,012.31 and 236.16 is: 354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.82 : 1,012.31 = 236.16 : x
  2. Step 2: Convert to fraction form
    674.82/1,012.31 = 236.16/x
  3. Step 3: Cross multiply
    674.82x = 1,012.31 × 236.16
  4. Step 4: Simplify right side
    674.82x = 239,065.95
  5. Step 5: Solve for x
    x = 239,065.95/674.82
  6. Step 6: Final answer
    x = 354.27

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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.