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Finding the Fourth Proportional to 441.72, 605.73 and 397.92

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Solution

The fourth proportional to 441.72, 605.73 and 397.92 is: 545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.72 : 605.73 = 397.92 : x
  2. Step 2: Convert to fraction form
    441.72/605.73 = 397.92/x
  3. Step 3: Cross multiply
    441.72x = 605.73 × 397.92
  4. Step 4: Simplify right side
    441.72x = 241,032.08
  5. Step 5: Solve for x
    x = 241,032.08/441.72
  6. Step 6: Final answer
    x = 545.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.