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Finding the Fourth Proportional to 500.49, 750.97 and 226.67

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Solution

The fourth proportional to 500.49, 750.97 and 226.67 is: 340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.49 : 750.97 = 226.67 : x
  2. Step 2: Convert to fraction form
    500.49/750.97 = 226.67/x
  3. Step 3: Cross multiply
    500.49x = 750.97 × 226.67
  4. Step 4: Simplify right side
    500.49x = 170,222.37
  5. Step 5: Solve for x
    x = 170,222.37/500.49
  6. Step 6: Final answer
    x = 340.11

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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.