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Finding the Fourth Proportional to 408.12, 564.30 and 353.40

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Solution

The fourth proportional to 408.12, 564.30 and 353.40 is: 488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.12 : 564.30 = 353.40 : x
  2. Step 2: Convert to fraction form
    408.12/564.30 = 353.40/x
  3. Step 3: Cross multiply
    408.12x = 564.30 × 353.40
  4. Step 4: Simplify right side
    408.12x = 199,423.62
  5. Step 5: Solve for x
    x = 199,423.62/408.12
  6. Step 6: Final answer
    x = 488.64

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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.