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Finding the Fourth Proportional to 319.92, 480.42 and 285.27

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Solution

The fourth proportional to 319.92, 480.42 and 285.27 is: 428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.92 : 480.42 = 285.27 : x
  2. Step 2: Convert to fraction form
    319.92/480.42 = 285.27/x
  3. Step 3: Cross multiply
    319.92x = 480.42 × 285.27
  4. Step 4: Simplify right side
    319.92x = 137,049.41
  5. Step 5: Solve for x
    x = 137,049.41/319.92
  6. Step 6: Final answer
    x = 428.39

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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.