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Finding the Fourth Proportional to 427.12, 640.15 and 232.23

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Solution

The fourth proportional to 427.12, 640.15 and 232.23 is: 348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.12 : 640.15 = 232.23 : x
  2. Step 2: Convert to fraction form
    427.12/640.15 = 232.23/x
  3. Step 3: Cross multiply
    427.12x = 640.15 × 232.23
  4. Step 4: Simplify right side
    427.12x = 148,662.03
  5. Step 5: Solve for x
    x = 148,662.03/427.12
  6. Step 6: Final answer
    x = 348.06

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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.