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Finding the Fourth Proportional to 482.71, 724.47 and 239.44

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Solution

The fourth proportional to 482.71, 724.47 and 239.44 is: 359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.71 : 724.47 = 239.44 : x
  2. Step 2: Convert to fraction form
    482.71/724.47 = 239.44/x
  3. Step 3: Cross multiply
    482.71x = 724.47 × 239.44
  4. Step 4: Simplify right side
    482.71x = 173,467.10
  5. Step 5: Solve for x
    x = 173,467.10/482.71
  6. Step 6: Final answer
    x = 359.36

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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.