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Finding the Fourth Proportional to 644.28, 964.51 and 424.49

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Solution

The fourth proportional to 644.28, 964.51 and 424.49 is: 635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.28 : 964.51 = 424.49 : x
  2. Step 2: Convert to fraction form
    644.28/964.51 = 424.49/x
  3. Step 3: Cross multiply
    644.28x = 964.51 × 424.49
  4. Step 4: Simplify right side
    644.28x = 409,424.39
  5. Step 5: Solve for x
    x = 409,424.39/644.28
  6. Step 6: Final answer
    x = 635.48

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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.