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Finding the Fourth Proportional to 446.98, 616.56 and 269.81

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Solution

The fourth proportional to 446.98, 616.56 and 269.81 is: 372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.98 : 616.56 = 269.81 : x
  2. Step 2: Convert to fraction form
    446.98/616.56 = 269.81/x
  3. Step 3: Cross multiply
    446.98x = 616.56 × 269.81
  4. Step 4: Simplify right side
    446.98x = 166,354.05
  5. Step 5: Solve for x
    x = 166,354.05/446.98
  6. Step 6: Final answer
    x = 372.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.