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Finding the Fourth Proportional to 447.55, 616.23 and 381.04

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Solution

The fourth proportional to 447.55, 616.23 and 381.04 is: 524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.55 : 616.23 = 381.04 : x
  2. Step 2: Convert to fraction form
    447.55/616.23 = 381.04/x
  3. Step 3: Cross multiply
    447.55x = 616.23 × 381.04
  4. Step 4: Simplify right side
    447.55x = 234,806.74
  5. Step 5: Solve for x
    x = 234,806.74/447.55
  6. Step 6: Final answer
    x = 524.65

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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.