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Finding the Fourth Proportional to 414.37, 571.82 and 237.28

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Solution

The fourth proportional to 414.37, 571.82 and 237.28 is: 327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.37 : 571.82 = 237.28 : x
  2. Step 2: Convert to fraction form
    414.37/571.82 = 237.28/x
  3. Step 3: Cross multiply
    414.37x = 571.82 × 237.28
  4. Step 4: Simplify right side
    414.37x = 135,681.45
  5. Step 5: Solve for x
    x = 135,681.45/414.37
  6. Step 6: Final answer
    x = 327.44

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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.