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Finding the Fourth Proportional to 471.24, 701.85 and 446.28

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Solution

The fourth proportional to 471.24, 701.85 and 446.28 is: 664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.24 : 701.85 = 446.28 : x
  2. Step 2: Convert to fraction form
    471.24/701.85 = 446.28/x
  3. Step 3: Cross multiply
    471.24x = 701.85 × 446.28
  4. Step 4: Simplify right side
    471.24x = 313,221.62
  5. Step 5: Solve for x
    x = 313,221.62/471.24
  6. Step 6: Final answer
    x = 664.68

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