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Finding the Fourth Proportional to 417.96, 625.97 and 212.03

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Solution

The fourth proportional to 417.96, 625.97 and 212.03 is: 317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.96 : 625.97 = 212.03 : x
  2. Step 2: Convert to fraction form
    417.96/625.97 = 212.03/x
  3. Step 3: Cross multiply
    417.96x = 625.97 × 212.03
  4. Step 4: Simplify right side
    417.96x = 132,720.23
  5. Step 5: Solve for x
    x = 132,720.23/417.96
  6. Step 6: Final answer
    x = 317.54

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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.