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Finding the Fourth Proportional to 656.43, 984.06 and 450.48

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Solution

The fourth proportional to 656.43, 984.06 and 450.48 is: 675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.43 : 984.06 = 450.48 : x
  2. Step 2: Convert to fraction form
    656.43/984.06 = 450.48/x
  3. Step 3: Cross multiply
    656.43x = 984.06 × 450.48
  4. Step 4: Simplify right side
    656.43x = 443,299.35
  5. Step 5: Solve for x
    x = 443,299.35/656.43
  6. Step 6: Final answer
    x = 675.32

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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.