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Finding the Fourth Proportional to 408.88, 564.16 and 354.04

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Solution

The fourth proportional to 408.88, 564.16 and 354.04 is: 488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.88 : 564.16 = 354.04 : x
  2. Step 2: Convert to fraction form
    408.88/564.16 = 354.04/x
  3. Step 3: Cross multiply
    408.88x = 564.16 × 354.04
  4. Step 4: Simplify right side
    408.88x = 199,735.21
  5. Step 5: Solve for x
    x = 199,735.21/408.88
  6. Step 6: Final answer
    x = 488.49

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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.