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Finding the Fourth Proportional to 288.50, 397.71 and 226.08

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Solution

The fourth proportional to 288.50, 397.71 and 226.08 is: 311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.50 : 397.71 = 226.08 : x
  2. Step 2: Convert to fraction form
    288.50/397.71 = 226.08/x
  3. Step 3: Cross multiply
    288.50x = 397.71 × 226.08
  4. Step 4: Simplify right side
    288.50x = 89,914.28
  5. Step 5: Solve for x
    x = 89,914.28/288.50
  6. Step 6: Final answer
    x = 311.67

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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.