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Finding the Fourth Proportional to 500.28, 750.45 and 226.41

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Solution

The fourth proportional to 500.28, 750.45 and 226.41 is: 339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 750.45 = 226.41 : x
  2. Step 2: Convert to fraction form
    500.28/750.45 = 226.41/x
  3. Step 3: Cross multiply
    500.28x = 750.45 × 226.41
  4. Step 4: Simplify right side
    500.28x = 169,909.38
  5. Step 5: Solve for x
    x = 169,909.38/500.28
  6. Step 6: Final answer
    x = 339.63

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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.