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Finding the Fourth Proportional to 650.22, 974.49 and 284.52

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Solution

The fourth proportional to 650.22, 974.49 and 284.52 is: 426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.22 : 974.49 = 284.52 : x
  2. Step 2: Convert to fraction form
    650.22/974.49 = 284.52/x
  3. Step 3: Cross multiply
    650.22x = 974.49 × 284.52
  4. Step 4: Simplify right side
    650.22x = 277,261.89
  5. Step 5: Solve for x
    x = 277,261.89/650.22
  6. Step 6: Final answer
    x = 426.41

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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.