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Finding the Fourth Proportional to 446.96, 669 and 338.96

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Solution

The fourth proportional to 446.96, 669 and 338.96 is: 507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.96 : 669 = 338.96 : x
  2. Step 2: Convert to fraction form
    446.96/669 = 338.96/x
  3. Step 3: Cross multiply
    446.96x = 669 × 338.96
  4. Step 4: Simplify right side
    446.96x = 226,764.24
  5. Step 5: Solve for x
    x = 226,764.24/446.96
  6. Step 6: Final answer
    x = 507.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.