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Finding the Fourth Proportional to 409.96, 611.97 and 361.36

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Solution

The fourth proportional to 409.96, 611.97 and 361.36 is: 539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.96 : 611.97 = 361.36 : x
  2. Step 2: Convert to fraction form
    409.96/611.97 = 361.36/x
  3. Step 3: Cross multiply
    409.96x = 611.97 × 361.36
  4. Step 4: Simplify right side
    409.96x = 221,141.48
  5. Step 5: Solve for x
    x = 221,141.48/409.96
  6. Step 6: Final answer
    x = 539.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.