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Finding the Fourth Proportional to 450.40, 622.99 and 381.55

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Solution

The fourth proportional to 450.40, 622.99 and 381.55 is: 527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.40 : 622.99 = 381.55 : x
  2. Step 2: Convert to fraction form
    450.40/622.99 = 381.55/x
  3. Step 3: Cross multiply
    450.40x = 622.99 × 381.55
  4. Step 4: Simplify right side
    450.40x = 237,701.83
  5. Step 5: Solve for x
    x = 237,701.83/450.40
  6. Step 6: Final answer
    x = 527.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.