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Finding the Fourth Proportional to 441.45, 609.24 and 275.67

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Solution

The fourth proportional to 441.45, 609.24 and 275.67 is: 380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.45 : 609.24 = 275.67 : x
  2. Step 2: Convert to fraction form
    441.45/609.24 = 275.67/x
  3. Step 3: Cross multiply
    441.45x = 609.24 × 275.67
  4. Step 4: Simplify right side
    441.45x = 167,949.19
  5. Step 5: Solve for x
    x = 167,949.19/441.45
  6. Step 6: Final answer
    x = 380.45

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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.