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Finding the Fourth Proportional to 648.08, 893.90 and 426.96

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Solution

The fourth proportional to 648.08, 893.90 and 426.96 is: 588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.08 : 893.90 = 426.96 : x
  2. Step 2: Convert to fraction form
    648.08/893.90 = 426.96/x
  3. Step 3: Cross multiply
    648.08x = 893.90 × 426.96
  4. Step 4: Simplify right side
    648.08x = 381,659.54
  5. Step 5: Solve for x
    x = 381,659.54/648.08
  6. Step 6: Final answer
    x = 588.91

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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.