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Finding the Fourth Proportional to 426.55, 588.49 and 271.39

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Solution

The fourth proportional to 426.55, 588.49 and 271.39 is: 374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.55 : 588.49 = 271.39 : x
  2. Step 2: Convert to fraction form
    426.55/588.49 = 271.39/x
  3. Step 3: Cross multiply
    426.55x = 588.49 × 271.39
  4. Step 4: Simplify right side
    426.55x = 159,710.30
  5. Step 5: Solve for x
    x = 159,710.30/426.55
  6. Step 6: Final answer
    x = 374.42

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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.