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Finding the Fourth Proportional to 283.92, 425.16 and 252.96

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Solution

The fourth proportional to 283.92, 425.16 and 252.96 is: 378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.92 : 425.16 = 252.96 : x
  2. Step 2: Convert to fraction form
    283.92/425.16 = 252.96/x
  3. Step 3: Cross multiply
    283.92x = 425.16 × 252.96
  4. Step 4: Simplify right side
    283.92x = 107,548.47
  5. Step 5: Solve for x
    x = 107,548.47/283.92
  6. Step 6: Final answer
    x = 378.80

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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.