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Finding the Fourth Proportional to 426.46, 588.49 and 251.77

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Solution

The fourth proportional to 426.46, 588.49 and 251.77 is: 347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.46 : 588.49 = 251.77 : x
  2. Step 2: Convert to fraction form
    426.46/588.49 = 251.77/x
  3. Step 3: Cross multiply
    426.46x = 588.49 × 251.77
  4. Step 4: Simplify right side
    426.46x = 148,164.13
  5. Step 5: Solve for x
    x = 148,164.13/426.46
  6. Step 6: Final answer
    x = 347.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.