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Finding the Fourth Proportional to 674.08, 1,010.79 and 308.74

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Solution

The fourth proportional to 674.08, 1,010.79 and 308.74 is: 462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.08 : 1,010.79 = 308.74 : x
  2. Step 2: Convert to fraction form
    674.08/1,010.79 = 308.74/x
  3. Step 3: Cross multiply
    674.08x = 1,010.79 × 308.74
  4. Step 4: Simplify right side
    674.08x = 312,071.30
  5. Step 5: Solve for x
    x = 312,071.30/674.08
  6. Step 6: Final answer
    x = 462.96

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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.