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Finding the Fourth Proportional to 475.56, 713.44 and 219.06

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Solution

The fourth proportional to 475.56, 713.44 and 219.06 is: 328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.56 : 713.44 = 219.06 : x
  2. Step 2: Convert to fraction form
    475.56/713.44 = 219.06/x
  3. Step 3: Cross multiply
    475.56x = 713.44 × 219.06
  4. Step 4: Simplify right side
    475.56x = 156,286.85
  5. Step 5: Solve for x
    x = 156,286.85/475.56
  6. Step 6: Final answer
    x = 328.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.