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Finding the Fourth Proportional to 649.92, 974.19 and 320.34

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Solution

The fourth proportional to 649.92, 974.19 and 320.34 is: 480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.92 : 974.19 = 320.34 : x
  2. Step 2: Convert to fraction form
    649.92/974.19 = 320.34/x
  3. Step 3: Cross multiply
    649.92x = 974.19 × 320.34
  4. Step 4: Simplify right side
    649.92x = 312,072.02
  5. Step 5: Solve for x
    x = 312,072.02/649.92
  6. Step 6: Final answer
    x = 480.17

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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.