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Finding the Fourth Proportional to 650.41, 896.62 and 463.83

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Solution

The fourth proportional to 650.41, 896.62 and 463.83 is: 639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.41 : 896.62 = 463.83 : x
  2. Step 2: Convert to fraction form
    650.41/896.62 = 463.83/x
  3. Step 3: Cross multiply
    650.41x = 896.62 × 463.83
  4. Step 4: Simplify right side
    650.41x = 415,879.25
  5. Step 5: Solve for x
    x = 415,879.25/650.41
  6. Step 6: Final answer
    x = 639.41

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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.