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Finding the Fourth Proportional to 406.60, 610.08 and 223.96

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Solution

The fourth proportional to 406.60, 610.08 and 223.96 is: 336.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.60 : 610.08 = 223.96 : x
  2. Step 2: Convert to fraction form
    406.60/610.08 = 223.96/x
  3. Step 3: Cross multiply
    406.60x = 610.08 × 223.96
  4. Step 4: Simplify right side
    406.60x = 136,633.52
  5. Step 5: Solve for x
    x = 136,633.52/406.60
  6. Step 6: Final answer
    x = 336.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.