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Finding the Fourth Proportional to 408.24, 559.08 and 402.84

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Solution

The fourth proportional to 408.24, 559.08 and 402.84 is: 551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.24 : 559.08 = 402.84 : x
  2. Step 2: Convert to fraction form
    408.24/559.08 = 402.84/x
  3. Step 3: Cross multiply
    408.24x = 559.08 × 402.84
  4. Step 4: Simplify right side
    408.24x = 225,219.79
  5. Step 5: Solve for x
    x = 225,219.79/408.24
  6. Step 6: Final answer
    x = 551.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.