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Finding the Fourth Proportional to 407.22, 609.66 and 269.99

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Solution

The fourth proportional to 407.22, 609.66 and 269.99 is: 404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.22 : 609.66 = 269.99 : x
  2. Step 2: Convert to fraction form
    407.22/609.66 = 269.99/x
  3. Step 3: Cross multiply
    407.22x = 609.66 × 269.99
  4. Step 4: Simplify right side
    407.22x = 164,601.34
  5. Step 5: Solve for x
    x = 164,601.34/407.22
  6. Step 6: Final answer
    x = 404.21

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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.