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Finding the Fourth Proportional to 284.50, 426.35 and 226.47

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Solution

The fourth proportional to 284.50, 426.35 and 226.47 is: 339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 426.35 = 226.47 : x
  2. Step 2: Convert to fraction form
    284.50/426.35 = 226.47/x
  3. Step 3: Cross multiply
    284.50x = 426.35 × 226.47
  4. Step 4: Simplify right side
    284.50x = 96,554.45
  5. Step 5: Solve for x
    x = 96,554.45/284.50
  6. Step 6: Final answer
    x = 339.38

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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.