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Finding the Fourth Proportional to 663.95, 993.42 and 446.46

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Solution

The fourth proportional to 663.95, 993.42 and 446.46 is: 668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.95 : 993.42 = 446.46 : x
  2. Step 2: Convert to fraction form
    663.95/993.42 = 446.46/x
  3. Step 3: Cross multiply
    663.95x = 993.42 × 446.46
  4. Step 4: Simplify right side
    663.95x = 443,522.29
  5. Step 5: Solve for x
    x = 443,522.29/663.95
  6. Step 6: Final answer
    x = 668.01

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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.