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Finding the Fourth Proportional to 649.92, 975.20 and 284.80

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Solution

The fourth proportional to 649.92, 975.20 and 284.80 is: 427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.92 : 975.20 = 284.80 : x
  2. Step 2: Convert to fraction form
    649.92/975.20 = 284.80/x
  3. Step 3: Cross multiply
    649.92x = 975.20 × 284.80
  4. Step 4: Simplify right side
    649.92x = 277,736.96
  5. Step 5: Solve for x
    x = 277,736.96/649.92
  6. Step 6: Final answer
    x = 427.34

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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.