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Finding the Fourth Proportional to 663.16, 994.74 and 278.68

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Solution

The fourth proportional to 663.16, 994.74 and 278.68 is: 418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.16 : 994.74 = 278.68 : x
  2. Step 2: Convert to fraction form
    663.16/994.74 = 278.68/x
  3. Step 3: Cross multiply
    663.16x = 994.74 × 278.68
  4. Step 4: Simplify right side
    663.16x = 277,214.14
  5. Step 5: Solve for x
    x = 277,214.14/663.16
  6. Step 6: Final answer
    x = 418.02

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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.