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Finding the Fourth Proportional to 663.27, 994.29 and 338.27

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Solution

The fourth proportional to 663.27, 994.29 and 338.27 is: 507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.27 : 994.29 = 338.27 : x
  2. Step 2: Convert to fraction form
    663.27/994.29 = 338.27/x
  3. Step 3: Cross multiply
    663.27x = 994.29 × 338.27
  4. Step 4: Simplify right side
    663.27x = 336,333.51
  5. Step 5: Solve for x
    x = 336,333.51/663.27
  6. Step 6: Final answer
    x = 507.08

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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.