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Finding the Fourth Proportional to 406.36, 610.15 and 233.22

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Solution

The fourth proportional to 406.36, 610.15 and 233.22 is: 350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.36 : 610.15 = 233.22 : x
  2. Step 2: Convert to fraction form
    406.36/610.15 = 233.22/x
  3. Step 3: Cross multiply
    406.36x = 610.15 × 233.22
  4. Step 4: Simplify right side
    406.36x = 142,298.60
  5. Step 5: Solve for x
    x = 142,298.60/406.36
  6. Step 6: Final answer
    x = 350.18

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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.