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Finding the Fourth Proportional to 650.96, 896.44 and 454.13

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Solution

The fourth proportional to 650.96, 896.44 and 454.13 is: 625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.96 : 896.44 = 454.13 : x
  2. Step 2: Convert to fraction form
    650.96/896.44 = 454.13/x
  3. Step 3: Cross multiply
    650.96x = 896.44 × 454.13
  4. Step 4: Simplify right side
    650.96x = 407,098.03
  5. Step 5: Solve for x
    x = 407,098.03/650.96
  6. Step 6: Final answer
    x = 625.38

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Why These Related Problems?

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