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Finding the Fourth Proportional to 406.32, 608.45 and 223.52

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Solution

The fourth proportional to 406.32, 608.45 and 223.52 is: 334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.32 : 608.45 = 223.52 : x
  2. Step 2: Convert to fraction form
    406.32/608.45 = 223.52/x
  3. Step 3: Cross multiply
    406.32x = 608.45 × 223.52
  4. Step 4: Simplify right side
    406.32x = 135,996.58
  5. Step 5: Solve for x
    x = 135,996.58/406.32
  6. Step 6: Final answer
    x = 334.70

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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.