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Finding the Fourth Proportional to 406.18, 608.85 and 223.51

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Solution

The fourth proportional to 406.18, 608.85 and 223.51 is: 335.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.18 : 608.85 = 223.51 : x
  2. Step 2: Convert to fraction form
    406.18/608.85 = 223.51/x
  3. Step 3: Cross multiply
    406.18x = 608.85 × 223.51
  4. Step 4: Simplify right side
    406.18x = 136,084.06
  5. Step 5: Solve for x
    x = 136,084.06/406.18
  6. Step 6: Final answer
    x = 335.03

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