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Finding the Fourth Proportional to 475.68, 712.79 and 321.06

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Solution

The fourth proportional to 475.68, 712.79 and 321.06 is: 481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.68 : 712.79 = 321.06 : x
  2. Step 2: Convert to fraction form
    475.68/712.79 = 321.06/x
  3. Step 3: Cross multiply
    475.68x = 712.79 × 321.06
  4. Step 4: Simplify right side
    475.68x = 228,846.75
  5. Step 5: Solve for x
    x = 228,846.75/475.68
  6. Step 6: Final answer
    x = 481.09

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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.