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Finding the Fourth Proportional to 350.44, 482.92 and 232.28

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Solution

The fourth proportional to 350.44, 482.92 and 232.28 is: 320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.44 : 482.92 = 232.28 : x
  2. Step 2: Convert to fraction form
    350.44/482.92 = 232.28/x
  3. Step 3: Cross multiply
    350.44x = 482.92 × 232.28
  4. Step 4: Simplify right side
    350.44x = 112,172.66
  5. Step 5: Solve for x
    x = 112,172.66/350.44
  6. Step 6: Final answer
    x = 320.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.