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Finding the Fourth Proportional to 416.85, 575.27 and 269.54

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Solution

The fourth proportional to 416.85, 575.27 and 269.54 is: 371.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.85 : 575.27 = 269.54 : x
  2. Step 2: Convert to fraction form
    416.85/575.27 = 269.54/x
  3. Step 3: Cross multiply
    416.85x = 575.27 × 269.54
  4. Step 4: Simplify right side
    416.85x = 155,056.93
  5. Step 5: Solve for x
    x = 155,056.93/416.85
  6. Step 6: Final answer
    x = 371.97

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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.