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Finding the Fourth Proportional to 322.40, 444.64 and 205.92

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Solution

The fourth proportional to 322.40, 444.64 and 205.92 is: 284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.40 : 444.64 = 205.92 : x
  2. Step 2: Convert to fraction form
    322.40/444.64 = 205.92/x
  3. Step 3: Cross multiply
    322.40x = 444.64 × 205.92
  4. Step 4: Simplify right side
    322.40x = 91,560.27
  5. Step 5: Solve for x
    x = 91,560.27/322.40
  6. Step 6: Final answer
    x = 284.00

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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.