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Finding the Fourth Proportional to 663.66, 994.73 and 298.13

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Solution

The fourth proportional to 663.66, 994.73 and 298.13 is: 446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.66 : 994.73 = 298.13 : x
  2. Step 2: Convert to fraction form
    663.66/994.73 = 298.13/x
  3. Step 3: Cross multiply
    663.66x = 994.73 × 298.13
  4. Step 4: Simplify right side
    663.66x = 296,552.39
  5. Step 5: Solve for x
    x = 296,552.39/663.66
  6. Step 6: Final answer
    x = 446.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.