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Finding the Fourth Proportional to 414.02, 571.42 and 239.40

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Solution

The fourth proportional to 414.02, 571.42 and 239.40 is: 330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.02 : 571.42 = 239.40 : x
  2. Step 2: Convert to fraction form
    414.02/571.42 = 239.40/x
  3. Step 3: Cross multiply
    414.02x = 571.42 × 239.40
  4. Step 4: Simplify right side
    414.02x = 136,797.95
  5. Step 5: Solve for x
    x = 136,797.95/414.02
  6. Step 6: Final answer
    x = 330.41

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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.