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Finding the Fourth Proportional to 446.48, 615.87 and 269.31

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Solution

The fourth proportional to 446.48, 615.87 and 269.31 is: 371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.48 : 615.87 = 269.31 : x
  2. Step 2: Convert to fraction form
    446.48/615.87 = 269.31/x
  3. Step 3: Cross multiply
    446.48x = 615.87 × 269.31
  4. Step 4: Simplify right side
    446.48x = 165,859.95
  5. Step 5: Solve for x
    x = 165,859.95/446.48
  6. Step 6: Final answer
    x = 371.49

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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.