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Finding the Fourth Proportional to 322.24, 480.71 and 271.22

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Solution

The fourth proportional to 322.24, 480.71 and 271.22 is: 404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.24 : 480.71 = 271.22 : x
  2. Step 2: Convert to fraction form
    322.24/480.71 = 271.22/x
  3. Step 3: Cross multiply
    322.24x = 480.71 × 271.22
  4. Step 4: Simplify right side
    322.24x = 130,378.17
  5. Step 5: Solve for x
    x = 130,378.17/322.24
  6. Step 6: Final answer
    x = 404.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.