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Finding the Fourth Proportional to 417.89, 626.81 and 212.42

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Solution

The fourth proportional to 417.89, 626.81 and 212.42 is: 318.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.89 : 626.81 = 212.42 : x
  2. Step 2: Convert to fraction form
    417.89/626.81 = 212.42/x
  3. Step 3: Cross multiply
    417.89x = 626.81 × 212.42
  4. Step 4: Simplify right side
    417.89x = 133,147.49
  5. Step 5: Solve for x
    x = 133,147.49/417.89
  6. Step 6: Final answer
    x = 318.62

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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.