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Finding the Fourth Proportional to 663.90, 995.84 and 278.88

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Solution

The fourth proportional to 663.90, 995.84 and 278.88 is: 418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.90 : 995.84 = 278.88 : x
  2. Step 2: Convert to fraction form
    663.90/995.84 = 278.88/x
  3. Step 3: Cross multiply
    663.90x = 995.84 × 278.88
  4. Step 4: Simplify right side
    663.90x = 277,719.86
  5. Step 5: Solve for x
    x = 277,719.86/663.90
  6. Step 6: Final answer
    x = 418.32

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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.