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Finding the Fourth Proportional to 349.31, 482.36 and 261.83

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Solution

The fourth proportional to 349.31, 482.36 and 261.83 is: 361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.31 : 482.36 = 261.83 : x
  2. Step 2: Convert to fraction form
    349.31/482.36 = 261.83/x
  3. Step 3: Cross multiply
    349.31x = 482.36 × 261.83
  4. Step 4: Simplify right side
    349.31x = 126,296.22
  5. Step 5: Solve for x
    x = 126,296.22/349.31
  6. Step 6: Final answer
    x = 361.56

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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.