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Finding the Fourth Proportional to 475.83, 713.48 and 321.39

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Solution

The fourth proportional to 475.83, 713.48 and 321.39 is: 481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.83 : 713.48 = 321.39 : x
  2. Step 2: Convert to fraction form
    475.83/713.48 = 321.39/x
  3. Step 3: Cross multiply
    475.83x = 713.48 × 321.39
  4. Step 4: Simplify right side
    475.83x = 229,303.73
  5. Step 5: Solve for x
    x = 229,303.73/475.83
  6. Step 6: Final answer
    x = 481.90

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