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Finding the Fourth Proportional to 471.76, 701.48 and 446.92

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Solution

The fourth proportional to 471.76, 701.48 and 446.92 is: 664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.76 : 701.48 = 446.92 : x
  2. Step 2: Convert to fraction form
    471.76/701.48 = 446.92/x
  3. Step 3: Cross multiply
    471.76x = 701.48 × 446.92
  4. Step 4: Simplify right side
    471.76x = 313,505.44
  5. Step 5: Solve for x
    x = 313,505.44/471.76
  6. Step 6: Final answer
    x = 664.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.