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Finding the Fourth Proportional to 424.63, 635.97 and 239.24

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Solution

The fourth proportional to 424.63, 635.97 and 239.24 is: 358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.63 : 635.97 = 239.24 : x
  2. Step 2: Convert to fraction form
    424.63/635.97 = 239.24/x
  3. Step 3: Cross multiply
    424.63x = 635.97 × 239.24
  4. Step 4: Simplify right side
    424.63x = 152,147.03
  5. Step 5: Solve for x
    x = 152,147.03/424.63
  6. Step 6: Final answer
    x = 358.31

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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.