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Finding the Fourth Proportional to 401.52, 601.39 and 343.07

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Solution

The fourth proportional to 401.52, 601.39 and 343.07 is: 513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.52 : 601.39 = 343.07 : x
  2. Step 2: Convert to fraction form
    401.52/601.39 = 343.07/x
  3. Step 3: Cross multiply
    401.52x = 601.39 × 343.07
  4. Step 4: Simplify right side
    401.52x = 206,318.54
  5. Step 5: Solve for x
    x = 206,318.54/401.52
  6. Step 6: Final answer
    x = 513.84

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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.