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Finding the Fourth Proportional to 460.20, 633.78 and 447.78

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Solution

The fourth proportional to 460.20, 633.78 and 447.78 is: 616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.20 : 633.78 = 447.78 : x
  2. Step 2: Convert to fraction form
    460.20/633.78 = 447.78/x
  3. Step 3: Cross multiply
    460.20x = 633.78 × 447.78
  4. Step 4: Simplify right side
    460.20x = 283,794.01
  5. Step 5: Solve for x
    x = 283,794.01/460.20
  6. Step 6: Final answer
    x = 616.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.