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Finding the Fourth Proportional to 648.20, 973.82 and 442.26

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Solution

The fourth proportional to 648.20, 973.82 and 442.26 is: 664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.20 : 973.82 = 442.26 : x
  2. Step 2: Convert to fraction form
    648.20/973.82 = 442.26/x
  3. Step 3: Cross multiply
    648.20x = 973.82 × 442.26
  4. Step 4: Simplify right side
    648.20x = 430,682.74
  5. Step 5: Solve for x
    x = 430,682.74/648.20
  6. Step 6: Final answer
    x = 664.43

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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.