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Finding the Fourth Proportional to 403.70, 557.07 and 226.64

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Solution

The fourth proportional to 403.70, 557.07 and 226.64 is: 312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.70 : 557.07 = 226.64 : x
  2. Step 2: Convert to fraction form
    403.70/557.07 = 226.64/x
  3. Step 3: Cross multiply
    403.70x = 557.07 × 226.64
  4. Step 4: Simplify right side
    403.70x = 126,254.34
  5. Step 5: Solve for x
    x = 126,254.34/403.70
  6. Step 6: Final answer
    x = 312.74

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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.