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Finding the Fourth Proportional to 427.13, 640.40 and 232.43

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Solution

The fourth proportional to 427.13, 640.40 and 232.43 is: 348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.13 : 640.40 = 232.43 : x
  2. Step 2: Convert to fraction form
    427.13/640.40 = 232.43/x
  3. Step 3: Cross multiply
    427.13x = 640.40 × 232.43
  4. Step 4: Simplify right side
    427.13x = 148,843.81
  5. Step 5: Solve for x
    x = 148,843.81/427.13
  6. Step 6: Final answer
    x = 348.48

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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.