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Finding the Fourth Proportional to 406.44, 559.92 and 344.07

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Solution

The fourth proportional to 406.44, 559.92 and 344.07 is: 474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.44 : 559.92 = 344.07 : x
  2. Step 2: Convert to fraction form
    406.44/559.92 = 344.07/x
  3. Step 3: Cross multiply
    406.44x = 559.92 × 344.07
  4. Step 4: Simplify right side
    406.44x = 192,651.67
  5. Step 5: Solve for x
    x = 192,651.67/406.44
  6. Step 6: Final answer
    x = 474.00

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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.