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Finding the Fourth Proportional to 322, 483.38 and 271.27

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Solution

The fourth proportional to 322, 483.38 and 271.27 is: 407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322 : 483.38 = 271.27 : x
  2. Step 2: Convert to fraction form
    322/483.38 = 271.27/x
  3. Step 3: Cross multiply
    322x = 483.38 × 271.27
  4. Step 4: Simplify right side
    322x = 131,126.49
  5. Step 5: Solve for x
    x = 131,126.49/322
  6. Step 6: Final answer
    x = 407.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.