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Finding the Fourth Proportional to 663.63, 994.82 and 298.01

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Solution

The fourth proportional to 663.63, 994.82 and 298.01 is: 446.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.63 : 994.82 = 298.01 : x
  2. Step 2: Convert to fraction form
    663.63/994.82 = 298.01/x
  3. Step 3: Cross multiply
    663.63x = 994.82 × 298.01
  4. Step 4: Simplify right side
    663.63x = 296,467.31
  5. Step 5: Solve for x
    x = 296,467.31/663.63
  6. Step 6: Final answer
    x = 446.74

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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.