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Finding the Fourth Proportional to 406.08, 559.17 and 396.96

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Solution

The fourth proportional to 406.08, 559.17 and 396.96 is: 546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.08 : 559.17 = 396.96 : x
  2. Step 2: Convert to fraction form
    406.08/559.17 = 396.96/x
  3. Step 3: Cross multiply
    406.08x = 559.17 × 396.96
  4. Step 4: Simplify right side
    406.08x = 221,968.12
  5. Step 5: Solve for x
    x = 221,968.12/406.08
  6. Step 6: Final answer
    x = 546.61

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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.