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Finding the Fourth Proportional to 446.32, 669.48 and 301.96

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Solution

The fourth proportional to 446.32, 669.48 and 301.96 is: 452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.32 : 669.48 = 301.96 : x
  2. Step 2: Convert to fraction form
    446.32/669.48 = 301.96/x
  3. Step 3: Cross multiply
    446.32x = 669.48 × 301.96
  4. Step 4: Simplify right side
    446.32x = 202,156.18
  5. Step 5: Solve for x
    x = 202,156.18/446.32
  6. Step 6: Final answer
    x = 452.94

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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.