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Finding the Fourth Proportional to 403.27, 604.33 and 293.11

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Solution

The fourth proportional to 403.27, 604.33 and 293.11 is: 439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.27 : 604.33 = 293.11 : x
  2. Step 2: Convert to fraction form
    403.27/604.33 = 293.11/x
  3. Step 3: Cross multiply
    403.27x = 604.33 × 293.11
  4. Step 4: Simplify right side
    403.27x = 177,135.17
  5. Step 5: Solve for x
    x = 177,135.17/403.27
  6. Step 6: Final answer
    x = 439.25

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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.