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Finding the Fourth Proportional to 406.45, 609.27 and 284.68

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Solution

The fourth proportional to 406.45, 609.27 and 284.68 is: 426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.45 : 609.27 = 284.68 : x
  2. Step 2: Convert to fraction form
    406.45/609.27 = 284.68/x
  3. Step 3: Cross multiply
    406.45x = 609.27 × 284.68
  4. Step 4: Simplify right side
    406.45x = 173,446.98
  5. Step 5: Solve for x
    x = 173,446.98/406.45
  6. Step 6: Final answer
    x = 426.74

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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.