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Finding the Fourth Proportional to 414.33, 571.73 and 239.64

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Solution

The fourth proportional to 414.33, 571.73 and 239.64 is: 330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.33 : 571.73 = 239.64 : x
  2. Step 2: Convert to fraction form
    414.33/571.73 = 239.64/x
  3. Step 3: Cross multiply
    414.33x = 571.73 × 239.64
  4. Step 4: Simplify right side
    414.33x = 137,008.18
  5. Step 5: Solve for x
    x = 137,008.18/414.33
  6. Step 6: Final answer
    x = 330.67

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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.