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Finding the Fourth Proportional to 644.28, 962.78 and 480.12

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Solution

The fourth proportional to 644.28, 962.78 and 480.12 is: 717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.28 : 962.78 = 480.12 : x
  2. Step 2: Convert to fraction form
    644.28/962.78 = 480.12/x
  3. Step 3: Cross multiply
    644.28x = 962.78 × 480.12
  4. Step 4: Simplify right side
    644.28x = 462,249.93
  5. Step 5: Solve for x
    x = 462,249.93/644.28
  6. Step 6: Final answer
    x = 717.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.