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Finding the Fourth Proportional to 348.92, 482.38 and 261.44

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Solution

The fourth proportional to 348.92, 482.38 and 261.44 is: 361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.92 : 482.38 = 261.44 : x
  2. Step 2: Convert to fraction form
    348.92/482.38 = 261.44/x
  3. Step 3: Cross multiply
    348.92x = 482.38 × 261.44
  4. Step 4: Simplify right side
    348.92x = 126,110.36
  5. Step 5: Solve for x
    x = 126,110.36/348.92
  6. Step 6: Final answer
    x = 361.44

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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.