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Finding the Fourth Proportional to 408.20, 563 and 346.20

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Solution

The fourth proportional to 408.20, 563 and 346.20 is: 477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.20 : 563 = 346.20 : x
  2. Step 2: Convert to fraction form
    408.20/563 = 346.20/x
  3. Step 3: Cross multiply
    408.20x = 563 × 346.20
  4. Step 4: Simplify right side
    408.20x = 194,910.60
  5. Step 5: Solve for x
    x = 194,910.60/408.20
  6. Step 6: Final answer
    x = 477.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.