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Finding the Fourth Proportional to 403.18, 556.33 and 226.15

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Solution

The fourth proportional to 403.18, 556.33 and 226.15 is: 312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.18 : 556.33 = 226.15 : x
  2. Step 2: Convert to fraction form
    403.18/556.33 = 226.15/x
  3. Step 3: Cross multiply
    403.18x = 556.33 × 226.15
  4. Step 4: Simplify right side
    403.18x = 125,814.03
  5. Step 5: Solve for x
    x = 125,814.03/403.18
  6. Step 6: Final answer
    x = 312.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.