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Finding the Fourth Proportional to 407.05, 609.78 and 269.68

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Solution

The fourth proportional to 407.05, 609.78 and 269.68 is: 403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.05 : 609.78 = 269.68 : x
  2. Step 2: Convert to fraction form
    407.05/609.78 = 269.68/x
  3. Step 3: Cross multiply
    407.05x = 609.78 × 269.68
  4. Step 4: Simplify right side
    407.05x = 164,446.32
  5. Step 5: Solve for x
    x = 164,446.32/407.05
  6. Step 6: Final answer
    x = 403.99

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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.