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Finding the Fourth Proportional to 407.27, 609.95 and 269.97

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Solution

The fourth proportional to 407.27, 609.95 and 269.97 is: 404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.27 : 609.95 = 269.97 : x
  2. Step 2: Convert to fraction form
    407.27/609.95 = 269.97/x
  3. Step 3: Cross multiply
    407.27x = 609.95 × 269.97
  4. Step 4: Simplify right side
    407.27x = 164,666.85
  5. Step 5: Solve for x
    x = 164,666.85/407.27
  6. Step 6: Final answer
    x = 404.32

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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.