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Finding the Fourth Proportional to 663.46, 994.41 and 297.82

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Solution

The fourth proportional to 663.46, 994.41 and 297.82 is: 446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.46 : 994.41 = 297.82 : x
  2. Step 2: Convert to fraction form
    663.46/994.41 = 297.82/x
  3. Step 3: Cross multiply
    663.46x = 994.41 × 297.82
  4. Step 4: Simplify right side
    663.46x = 296,155.19
  5. Step 5: Solve for x
    x = 296,155.19/663.46
  6. Step 6: Final answer
    x = 446.38

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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.