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Finding the Fourth Proportional to 663.63, 995.49 and 278.88

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Solution

The fourth proportional to 663.63, 995.49 and 278.88 is: 418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.63 : 995.49 = 278.88 : x
  2. Step 2: Convert to fraction form
    663.63/995.49 = 278.88/x
  3. Step 3: Cross multiply
    663.63x = 995.49 × 278.88
  4. Step 4: Simplify right side
    663.63x = 277,622.25
  5. Step 5: Solve for x
    x = 277,622.25/663.63
  6. Step 6: Final answer
    x = 418.34

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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.