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Finding the Fourth Proportional to 408.04, 563.09 and 368.21

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Solution

The fourth proportional to 408.04, 563.09 and 368.21 is: 508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.04 : 563.09 = 368.21 : x
  2. Step 2: Convert to fraction form
    408.04/563.09 = 368.21/x
  3. Step 3: Cross multiply
    408.04x = 563.09 × 368.21
  4. Step 4: Simplify right side
    408.04x = 207,334.94
  5. Step 5: Solve for x
    x = 207,334.94/408.04
  6. Step 6: Final answer
    x = 508.13

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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.