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Finding the Fourth Proportional to 674.08, 1,010.49 and 308.50

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Solution

The fourth proportional to 674.08, 1,010.49 and 308.50 is: 462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.08 : 1,010.49 = 308.50 : x
  2. Step 2: Convert to fraction form
    674.08/1,010.49 = 308.50/x
  3. Step 3: Cross multiply
    674.08x = 1,010.49 × 308.50
  4. Step 4: Simplify right side
    674.08x = 311,736.17
  5. Step 5: Solve for x
    x = 311,736.17/674.08
  6. Step 6: Final answer
    x = 462.46

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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.