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Finding the Fourth Proportional to 417.53, 626.27 and 212.09

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Solution

The fourth proportional to 417.53, 626.27 and 212.09 is: 318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.53 : 626.27 = 212.09 : x
  2. Step 2: Convert to fraction form
    417.53/626.27 = 212.09/x
  3. Step 3: Cross multiply
    417.53x = 626.27 × 212.09
  4. Step 4: Simplify right side
    417.53x = 132,824.05
  5. Step 5: Solve for x
    x = 132,824.05/417.53
  6. Step 6: Final answer
    x = 318.12

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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.