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Finding the Fourth Proportional to 416.25, 574.47 and 269.28

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Solution

The fourth proportional to 416.25, 574.47 and 269.28 is: 371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.25 : 574.47 = 269.28 : x
  2. Step 2: Convert to fraction form
    416.25/574.47 = 269.28/x
  3. Step 3: Cross multiply
    416.25x = 574.47 × 269.28
  4. Step 4: Simplify right side
    416.25x = 154,693.28
  5. Step 5: Solve for x
    x = 154,693.28/416.25
  6. Step 6: Final answer
    x = 371.64

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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.