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Finding the Fourth Proportional to 401, 602 and 227.84

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Solution

The fourth proportional to 401, 602 and 227.84 is: 342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401 : 602 = 227.84 : x
  2. Step 2: Convert to fraction form
    401/602 = 227.84/x
  3. Step 3: Cross multiply
    401x = 602 × 227.84
  4. Step 4: Simplify right side
    401x = 137,159.68
  5. Step 5: Solve for x
    x = 137,159.68/401
  6. Step 6: Final answer
    x = 342.04

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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.