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Finding the Fourth Proportional to 447.12, 616.56 and 381.84

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Solution

The fourth proportional to 447.12, 616.56 and 381.84 is: 526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.12 : 616.56 = 381.84 : x
  2. Step 2: Convert to fraction form
    447.12/616.56 = 381.84/x
  3. Step 3: Cross multiply
    447.12x = 616.56 × 381.84
  4. Step 4: Simplify right side
    447.12x = 235,427.27
  5. Step 5: Solve for x
    x = 235,427.27/447.12
  6. Step 6: Final answer
    x = 526.54

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Why These Related Problems?

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