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Finding the Fourth Proportional to 406.27, 559.56 and 405.07

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Solution

The fourth proportional to 406.27, 559.56 and 405.07 is: 557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.27 : 559.56 = 405.07 : x
  2. Step 2: Convert to fraction form
    406.27/559.56 = 405.07/x
  3. Step 3: Cross multiply
    406.27x = 559.56 × 405.07
  4. Step 4: Simplify right side
    406.27x = 226,660.97
  5. Step 5: Solve for x
    x = 226,660.97/406.27
  6. Step 6: Final answer
    x = 557.91

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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.