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Finding the Fourth Proportional to 423.68, 584.46 and 257.94

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Solution

The fourth proportional to 423.68, 584.46 and 257.94 is: 355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.68 : 584.46 = 257.94 : x
  2. Step 2: Convert to fraction form
    423.68/584.46 = 257.94/x
  3. Step 3: Cross multiply
    423.68x = 584.46 × 257.94
  4. Step 4: Simplify right side
    423.68x = 150,755.61
  5. Step 5: Solve for x
    x = 150,755.61/423.68
  6. Step 6: Final answer
    x = 355.83

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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.