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Finding the Fourth Proportional to 414.45, 572.67 and 309.96

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Solution

The fourth proportional to 414.45, 572.67 and 309.96 is: 428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.45 : 572.67 = 309.96 : x
  2. Step 2: Convert to fraction form
    414.45/572.67 = 309.96/x
  3. Step 3: Cross multiply
    414.45x = 572.67 × 309.96
  4. Step 4: Simplify right side
    414.45x = 177,504.79
  5. Step 5: Solve for x
    x = 177,504.79/414.45
  6. Step 6: Final answer
    x = 428.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.