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Finding the Fourth Proportional to 409.19, 563.39 and 361.23

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Solution

The fourth proportional to 409.19, 563.39 and 361.23 is: 497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.19 : 563.39 = 361.23 : x
  2. Step 2: Convert to fraction form
    409.19/563.39 = 361.23/x
  3. Step 3: Cross multiply
    409.19x = 563.39 × 361.23
  4. Step 4: Simplify right side
    409.19x = 203,513.37
  5. Step 5: Solve for x
    x = 203,513.37/409.19
  6. Step 6: Final answer
    x = 497.36

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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.