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Finding the Fourth Proportional to 416.28, 574.16 and 250.44

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Solution

The fourth proportional to 416.28, 574.16 and 250.44 is: 345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.28 : 574.16 = 250.44 : x
  2. Step 2: Convert to fraction form
    416.28/574.16 = 250.44/x
  3. Step 3: Cross multiply
    416.28x = 574.16 × 250.44
  4. Step 4: Simplify right side
    416.28x = 143,792.63
  5. Step 5: Solve for x
    x = 143,792.63/416.28
  6. Step 6: Final answer
    x = 345.42

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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.