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Finding the Fourth Proportional to 650.34, 896.78 and 484.28

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Solution

The fourth proportional to 650.34, 896.78 and 484.28 is: 667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.34 : 896.78 = 484.28 : x
  2. Step 2: Convert to fraction form
    650.34/896.78 = 484.28/x
  3. Step 3: Cross multiply
    650.34x = 896.78 × 484.28
  4. Step 4: Simplify right side
    650.34x = 434,292.62
  5. Step 5: Solve for x
    x = 434,292.62/650.34
  6. Step 6: Final answer
    x = 667.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.