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Finding the Fourth Proportional to 500.28, 751.79 and 269.34

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Solution

The fourth proportional to 500.28, 751.79 and 269.34 is: 404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 751.79 = 269.34 : x
  2. Step 2: Convert to fraction form
    500.28/751.79 = 269.34/x
  3. Step 3: Cross multiply
    500.28x = 751.79 × 269.34
  4. Step 4: Simplify right side
    500.28x = 202,487.12
  5. Step 5: Solve for x
    x = 202,487.12/500.28
  6. Step 6: Final answer
    x = 404.75

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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.