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Finding the Fourth Proportional to 404.72, 559.08 and 327.44

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Solution

The fourth proportional to 404.72, 559.08 and 327.44 is: 452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.72 : 559.08 = 327.44 : x
  2. Step 2: Convert to fraction form
    404.72/559.08 = 327.44/x
  3. Step 3: Cross multiply
    404.72x = 559.08 × 327.44
  4. Step 4: Simplify right side
    404.72x = 183,065.16
  5. Step 5: Solve for x
    x = 183,065.16/404.72
  6. Step 6: Final answer
    x = 452.33

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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.