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Finding the Fourth Proportional to 284.70, 426.25 and 227.01

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Solution

The fourth proportional to 284.70, 426.25 and 227.01 is: 339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.70 : 426.25 = 227.01 : x
  2. Step 2: Convert to fraction form
    284.70/426.25 = 227.01/x
  3. Step 3: Cross multiply
    284.70x = 426.25 × 227.01
  4. Step 4: Simplify right side
    284.70x = 96,763.01
  5. Step 5: Solve for x
    x = 96,763.01/284.70
  6. Step 6: Final answer
    x = 339.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.