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Finding the Fourth Proportional to 418.14, 626.40 and 212.46

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Solution

The fourth proportional to 418.14, 626.40 and 212.46 is: 318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.14 : 626.40 = 212.46 : x
  2. Step 2: Convert to fraction form
    418.14/626.40 = 212.46/x
  3. Step 3: Cross multiply
    418.14x = 626.40 × 212.46
  4. Step 4: Simplify right side
    418.14x = 133,084.94
  5. Step 5: Solve for x
    x = 133,084.94/418.14
  6. Step 6: Final answer
    x = 318.28

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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.