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Finding the Fourth Proportional to 426.40, 588.48 and 271.12

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Solution

The fourth proportional to 426.40, 588.48 and 271.12 is: 374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.40 : 588.48 = 271.12 : x
  2. Step 2: Convert to fraction form
    426.40/588.48 = 271.12/x
  3. Step 3: Cross multiply
    426.40x = 588.48 × 271.12
  4. Step 4: Simplify right side
    426.40x = 159,548.70
  5. Step 5: Solve for x
    x = 159,548.70/426.40
  6. Step 6: Final answer
    x = 374.18

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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.