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Finding the Fourth Proportional to 416.71, 575.28 and 269.43

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Solution

The fourth proportional to 416.71, 575.28 and 269.43 is: 371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.71 : 575.28 = 269.43 : x
  2. Step 2: Convert to fraction form
    416.71/575.28 = 269.43/x
  3. Step 3: Cross multiply
    416.71x = 575.28 × 269.43
  4. Step 4: Simplify right side
    416.71x = 154,998.36
  5. Step 5: Solve for x
    x = 154,998.36/416.71
  6. Step 6: Final answer
    x = 371.96

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Why These Related Problems?

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