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Finding the Fourth Proportional to 284.56, 425.72 and 282.48

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Solution

The fourth proportional to 284.56, 425.72 and 282.48 is: 422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.56 : 425.72 = 282.48 : x
  2. Step 2: Convert to fraction form
    284.56/425.72 = 282.48/x
  3. Step 3: Cross multiply
    284.56x = 425.72 × 282.48
  4. Step 4: Simplify right side
    284.56x = 120,257.39
  5. Step 5: Solve for x
    x = 120,257.39/284.56
  6. Step 6: Final answer
    x = 422.61

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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.