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Finding the Fourth Proportional to 303.85, 456.03 and 269.24

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Solution

The fourth proportional to 303.85, 456.03 and 269.24 is: 404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.85 : 456.03 = 269.24 : x
  2. Step 2: Convert to fraction form
    303.85/456.03 = 269.24/x
  3. Step 3: Cross multiply
    303.85x = 456.03 × 269.24
  4. Step 4: Simplify right side
    303.85x = 122,781.52
  5. Step 5: Solve for x
    x = 122,781.52/303.85
  6. Step 6: Final answer
    x = 404.09

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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.