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Finding the Fourth Proportional to 423.84, 635.68 and 231.20

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Solution

The fourth proportional to 423.84, 635.68 and 231.20 is: 346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.84 : 635.68 = 231.20 : x
  2. Step 2: Convert to fraction form
    423.84/635.68 = 231.20/x
  3. Step 3: Cross multiply
    423.84x = 635.68 × 231.20
  4. Step 4: Simplify right side
    423.84x = 146,969.22
  5. Step 5: Solve for x
    x = 146,969.22/423.84
  6. Step 6: Final answer
    x = 346.76

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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.