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Finding the Fourth Proportional to 322.59, 445.23 and 239.57

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Solution

The fourth proportional to 322.59, 445.23 and 239.57 is: 330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.59 : 445.23 = 239.57 : x
  2. Step 2: Convert to fraction form
    322.59/445.23 = 239.57/x
  3. Step 3: Cross multiply
    322.59x = 445.23 × 239.57
  4. Step 4: Simplify right side
    322.59x = 106,661.52
  5. Step 5: Solve for x
    x = 106,661.52/322.59
  6. Step 6: Final answer
    x = 330.64

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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.