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Finding the Fourth Proportional to 379.65, 523.85 and 220.08

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Solution

The fourth proportional to 379.65, 523.85 and 220.08 is: 303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.65 : 523.85 = 220.08 : x
  2. Step 2: Convert to fraction form
    379.65/523.85 = 220.08/x
  3. Step 3: Cross multiply
    379.65x = 523.85 × 220.08
  4. Step 4: Simplify right side
    379.65x = 115,288.42
  5. Step 5: Solve for x
    x = 115,288.42/379.65
  6. Step 6: Final answer
    x = 303.67

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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.