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Finding the Fourth Proportional to 284.39, 426.21 and 276.08

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Solution

The fourth proportional to 284.39, 426.21 and 276.08 is: 413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.39 : 426.21 = 276.08 : x
  2. Step 2: Convert to fraction form
    284.39/426.21 = 276.08/x
  3. Step 3: Cross multiply
    284.39x = 426.21 × 276.08
  4. Step 4: Simplify right side
    284.39x = 117,668.06
  5. Step 5: Solve for x
    x = 117,668.06/284.39
  6. Step 6: Final answer
    x = 413.76

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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.