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Finding the Fourth Proportional to 405.59, 608.26 and 131.62

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Solution

The fourth proportional to 405.59, 608.26 and 131.62 is: 197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.59 : 608.26 = 131.62 : x
  2. Step 2: Convert to fraction form
    405.59/608.26 = 131.62/x
  3. Step 3: Cross multiply
    405.59x = 608.26 × 131.62
  4. Step 4: Simplify right side
    405.59x = 80,057.33
  5. Step 5: Solve for x
    x = 80,057.33/405.59
  6. Step 6: Final answer
    x = 197.38

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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.