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Finding the Fourth Proportional to 423.52, 635.20 and 231.20

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Solution

The fourth proportional to 423.52, 635.20 and 231.20 is: 346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.52 : 635.20 = 231.20 : x
  2. Step 2: Convert to fraction form
    423.52/635.20 = 231.20/x
  3. Step 3: Cross multiply
    423.52x = 635.20 × 231.20
  4. Step 4: Simplify right side
    423.52x = 146,858.24
  5. Step 5: Solve for x
    x = 146,858.24/423.52
  6. Step 6: Final answer
    x = 346.76

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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.