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Finding the Fourth Proportional to 644.79, 968.73 and 414.14

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Solution

The fourth proportional to 644.79, 968.73 and 414.14 is: 622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.79 : 968.73 = 414.14 : x
  2. Step 2: Convert to fraction form
    644.79/968.73 = 414.14/x
  3. Step 3: Cross multiply
    644.79x = 968.73 × 414.14
  4. Step 4: Simplify right side
    644.79x = 401,183.45
  5. Step 5: Solve for x
    x = 401,183.45/644.79
  6. Step 6: Final answer
    x = 622.19

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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.