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Finding the Fourth Proportional to 645.44, 968.26 and 320.82

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Solution

The fourth proportional to 645.44, 968.26 and 320.82 is: 481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.44 : 968.26 = 320.82 : x
  2. Step 2: Convert to fraction form
    645.44/968.26 = 320.82/x
  3. Step 3: Cross multiply
    645.44x = 968.26 × 320.82
  4. Step 4: Simplify right side
    645.44x = 310,637.17
  5. Step 5: Solve for x
    x = 310,637.17/645.44
  6. Step 6: Final answer
    x = 481.28

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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.