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Finding the Fourth Proportional to 446.36, 667.85 and 401.45

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Solution

The fourth proportional to 446.36, 667.85 and 401.45 is: 600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.36 : 667.85 = 401.45 : x
  2. Step 2: Convert to fraction form
    446.36/667.85 = 401.45/x
  3. Step 3: Cross multiply
    446.36x = 667.85 × 401.45
  4. Step 4: Simplify right side
    446.36x = 268,103.04
  5. Step 5: Solve for x
    x = 268,103.04/446.36
  6. Step 6: Final answer
    x = 600.65

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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.