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Finding the Fourth Proportional to 623.28, 933.90 and 449.70

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Solution

The fourth proportional to 623.28, 933.90 and 449.70 is: 673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.28 : 933.90 = 449.70 : x
  2. Step 2: Convert to fraction form
    623.28/933.90 = 449.70/x
  3. Step 3: Cross multiply
    623.28x = 933.90 × 449.70
  4. Step 4: Simplify right side
    623.28x = 419,974.83
  5. Step 5: Solve for x
    x = 419,974.83/623.28
  6. Step 6: Final answer
    x = 673.81

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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.