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Finding the Fourth Proportional to 403.18, 605.31 and 229.96

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Solution

The fourth proportional to 403.18, 605.31 and 229.96 is: 345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.18 : 605.31 = 229.96 : x
  2. Step 2: Convert to fraction form
    403.18/605.31 = 229.96/x
  3. Step 3: Cross multiply
    403.18x = 605.31 × 229.96
  4. Step 4: Simplify right side
    403.18x = 139,197.09
  5. Step 5: Solve for x
    x = 139,197.09/403.18
  6. Step 6: Final answer
    x = 345.25

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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.