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Finding the Fourth Proportional to 649.75, 974.75 and 298.39

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Solution

The fourth proportional to 649.75, 974.75 and 298.39 is: 447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.75 : 974.75 = 298.39 : x
  2. Step 2: Convert to fraction form
    649.75/974.75 = 298.39/x
  3. Step 3: Cross multiply
    649.75x = 974.75 × 298.39
  4. Step 4: Simplify right side
    649.75x = 290,851.72
  5. Step 5: Solve for x
    x = 290,851.72/649.75
  6. Step 6: Final answer
    x = 447.64

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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.