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Finding the Fourth Proportional to 416.54, 574.80 and 269.12

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Solution

The fourth proportional to 416.54, 574.80 and 269.12 is: 371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.54 : 574.80 = 269.12 : x
  2. Step 2: Convert to fraction form
    416.54/574.80 = 269.12/x
  3. Step 3: Cross multiply
    416.54x = 574.80 × 269.12
  4. Step 4: Simplify right side
    416.54x = 154,690.18
  5. Step 5: Solve for x
    x = 154,690.18/416.54
  6. Step 6: Final answer
    x = 371.37

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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.