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Finding the Fourth Proportional to 284.25, 426.39 and 89.39

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Solution

The fourth proportional to 284.25, 426.39 and 89.39 is: 134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.25 : 426.39 = 89.39 : x
  2. Step 2: Convert to fraction form
    284.25/426.39 = 89.39/x
  3. Step 3: Cross multiply
    284.25x = 426.39 × 89.39
  4. Step 4: Simplify right side
    284.25x = 38,115.00
  5. Step 5: Solve for x
    x = 38,115.00/284.25
  6. Step 6: Final answer
    x = 134.09

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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.